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Finding the Fourth Proportional to 95.26, 141.86 and 89.42

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Solution

The fourth proportional to 95.26, 141.86 and 89.42 is: 133.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.26 : 141.86 = 89.42 : x
  2. Step 2: Convert to fraction form
    95.26/141.86 = 89.42/x
  3. Step 3: Cross multiply
    95.26x = 141.86 × 89.42
  4. Step 4: Simplify right side
    95.26x = 12,685.12
  5. Step 5: Solve for x
    x = 12,685.12/95.26
  6. Step 6: Final answer
    x = 133.16

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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.