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Finding the Fourth Proportional to 334.81, 502.21 and 129.47

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Solution

The fourth proportional to 334.81, 502.21 and 129.47 is: 194.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.81 : 502.21 = 129.47 : x
  2. Step 2: Convert to fraction form
    334.81/502.21 = 129.47/x
  3. Step 3: Cross multiply
    334.81x = 502.21 × 129.47
  4. Step 4: Simplify right side
    334.81x = 65,020.81
  5. Step 5: Solve for x
    x = 65,020.81/334.81
  6. Step 6: Final answer
    x = 194.21

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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.