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Finding the Fourth Proportional to 152.92, 229.68 and 134.70

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Solution

The fourth proportional to 152.92, 229.68 and 134.70 is: 202.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.92 : 229.68 = 134.70 : x
  2. Step 2: Convert to fraction form
    152.92/229.68 = 134.70/x
  3. Step 3: Cross multiply
    152.92x = 229.68 × 134.70
  4. Step 4: Simplify right side
    152.92x = 30,937.90
  5. Step 5: Solve for x
    x = 30,937.90/152.92
  6. Step 6: Final answer
    x = 202.31

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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.