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Finding the Fourth Proportional to 510.69, 766.23 and 218.25

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Solution

The fourth proportional to 510.69, 766.23 and 218.25 is: 327.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.69 : 766.23 = 218.25 : x
  2. Step 2: Convert to fraction form
    510.69/766.23 = 218.25/x
  3. Step 3: Cross multiply
    510.69x = 766.23 × 218.25
  4. Step 4: Simplify right side
    510.69x = 167,229.70
  5. Step 5: Solve for x
    x = 167,229.70/510.69
  6. Step 6: Final answer
    x = 327.46

Related Problems

Find fourth proportional to 255.35, 383.12 and 109.13
Half scale
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Double scale
Find fourth proportional to 511.69, 767.73 and 219.25
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.