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Finding the Fourth Proportional to 510.75, 766.26 and 254.25

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Solution

The fourth proportional to 510.75, 766.26 and 254.25 is: 381.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.75 : 766.26 = 254.25 : x
  2. Step 2: Convert to fraction form
    510.75/766.26 = 254.25/x
  3. Step 3: Cross multiply
    510.75x = 766.26 × 254.25
  4. Step 4: Simplify right side
    510.75x = 194,821.61
  5. Step 5: Solve for x
    x = 194,821.61/510.75
  6. Step 6: Final answer
    x = 381.44

Related Problems

Find fourth proportional to 255.38, 383.13 and 127.13
Half scale
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Double scale
Find fourth proportional to 511.75, 767.76 and 255.25
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.