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Finding the Fourth Proportional to 95.30, 142.31 and 74.78

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Solution

The fourth proportional to 95.30, 142.31 and 74.78 is: 111.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.30 : 142.31 = 74.78 : x
  2. Step 2: Convert to fraction form
    95.30/142.31 = 74.78/x
  3. Step 3: Cross multiply
    95.30x = 142.31 × 74.78
  4. Step 4: Simplify right side
    95.30x = 10,640.86
  5. Step 5: Solve for x
    x = 10,640.86/95.30
  6. Step 6: Final answer
    x = 111.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.