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Finding the Fourth Proportional to 109.46, 151.08 and 95.78

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Solution

The fourth proportional to 109.46, 151.08 and 95.78 is: 132.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.46 : 151.08 = 95.78 : x
  2. Step 2: Convert to fraction form
    109.46/151.08 = 95.78/x
  3. Step 3: Cross multiply
    109.46x = 151.08 × 95.78
  4. Step 4: Simplify right side
    109.46x = 14,470.44
  5. Step 5: Solve for x
    x = 14,470.44/109.46
  6. Step 6: Final answer
    x = 132.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.