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Finding the Fourth Proportional to 153.04, 229.42 and 75.96

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Solution

The fourth proportional to 153.04, 229.42 and 75.96 is: 113.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.04 : 229.42 = 75.96 : x
  2. Step 2: Convert to fraction form
    153.04/229.42 = 75.96/x
  3. Step 3: Cross multiply
    153.04x = 229.42 × 75.96
  4. Step 4: Simplify right side
    153.04x = 17,426.74
  5. Step 5: Solve for x
    x = 17,426.74/153.04
  6. Step 6: Final answer
    x = 113.87

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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.