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Finding the Fourth Proportional to 510.80, 766.14 and 218.28

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Solution

The fourth proportional to 510.80, 766.14 and 218.28 is: 327.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.80 : 766.14 = 218.28 : x
  2. Step 2: Convert to fraction form
    510.80/766.14 = 218.28/x
  3. Step 3: Cross multiply
    510.80x = 766.14 × 218.28
  4. Step 4: Simplify right side
    510.80x = 167,233.04
  5. Step 5: Solve for x
    x = 167,233.04/510.80
  6. Step 6: Final answer
    x = 327.40

Related Problems

Find fourth proportional to 255.40, 383.07 and 109.14
Half scale
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Double scale
Find fourth proportional to 511.80, 767.64 and 219.28
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.