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Finding the Fourth Proportional to 354.71, 531.98 and 239.86

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Solution

The fourth proportional to 354.71, 531.98 and 239.86 is: 359.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.71 : 531.98 = 239.86 : x
  2. Step 2: Convert to fraction form
    354.71/531.98 = 239.86/x
  3. Step 3: Cross multiply
    354.71x = 531.98 × 239.86
  4. Step 4: Simplify right side
    354.71x = 127,600.72
  5. Step 5: Solve for x
    x = 127,600.72/354.71
  6. Step 6: Final answer
    x = 359.73

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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.