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Finding the Fourth Proportional to 152.49, 229.17 and 126.96

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Solution

The fourth proportional to 152.49, 229.17 and 126.96 is: 190.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.49 : 229.17 = 126.96 : x
  2. Step 2: Convert to fraction form
    152.49/229.17 = 126.96/x
  3. Step 3: Cross multiply
    152.49x = 229.17 × 126.96
  4. Step 4: Simplify right side
    152.49x = 29,095.42
  5. Step 5: Solve for x
    x = 29,095.42/152.49
  6. Step 6: Final answer
    x = 190.80

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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.