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Finding the Fourth Proportional to 510.14, 764.66 and 221.52

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Solution

The fourth proportional to 510.14, 764.66 and 221.52 is: 332.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.14 : 764.66 = 221.52 : x
  2. Step 2: Convert to fraction form
    510.14/764.66 = 221.52/x
  3. Step 3: Cross multiply
    510.14x = 764.66 × 221.52
  4. Step 4: Simplify right side
    510.14x = 169,387.48
  5. Step 5: Solve for x
    x = 169,387.48/510.14
  6. Step 6: Final answer
    x = 332.04

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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.