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Finding the Fourth Proportional to 102.62, 153.96 and 41.73

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Solution

The fourth proportional to 102.62, 153.96 and 41.73 is: 62.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.62 : 153.96 = 41.73 : x
  2. Step 2: Convert to fraction form
    102.62/153.96 = 41.73/x
  3. Step 3: Cross multiply
    102.62x = 153.96 × 41.73
  4. Step 4: Simplify right side
    102.62x = 6,424.75
  5. Step 5: Solve for x
    x = 6,424.75/102.62
  6. Step 6: Final answer
    x = 62.61

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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.