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Finding the Fourth Proportional to 354.83, 532.28 and 159.74

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Solution

The fourth proportional to 354.83, 532.28 and 159.74 is: 239.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.83 : 532.28 = 159.74 : x
  2. Step 2: Convert to fraction form
    354.83/532.28 = 159.74/x
  3. Step 3: Cross multiply
    354.83x = 532.28 × 159.74
  4. Step 4: Simplify right side
    354.83x = 85,022.95
  5. Step 5: Solve for x
    x = 85,022.95/354.83
  6. Step 6: Final answer
    x = 239.62

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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.