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Finding the Fourth Proportional to 352.92, 529.14 and 141.71

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Solution

The fourth proportional to 352.92, 529.14 and 141.71 is: 212.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.92 : 529.14 = 141.71 : x
  2. Step 2: Convert to fraction form
    352.92/529.14 = 141.71/x
  3. Step 3: Cross multiply
    352.92x = 529.14 × 141.71
  4. Step 4: Simplify right side
    352.92x = 74,981.78
  5. Step 5: Solve for x
    x = 74,981.78/352.92
  6. Step 6: Final answer
    x = 212.46

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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.