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Finding the Fourth Proportional to 152.92, 229.20 and 66.24

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Solution

The fourth proportional to 152.92, 229.20 and 66.24 is: 99.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.92 : 229.20 = 66.24 : x
  2. Step 2: Convert to fraction form
    152.92/229.20 = 66.24/x
  3. Step 3: Cross multiply
    152.92x = 229.20 × 66.24
  4. Step 4: Simplify right side
    152.92x = 15,182.21
  5. Step 5: Solve for x
    x = 15,182.21/152.92
  6. Step 6: Final answer
    x = 99.28

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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.