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Finding the Fourth Proportional to 95.29, 131.51 and 53.86

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Solution

The fourth proportional to 95.29, 131.51 and 53.86 is: 74.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.29 : 131.51 = 53.86 : x
  2. Step 2: Convert to fraction form
    95.29/131.51 = 53.86/x
  3. Step 3: Cross multiply
    95.29x = 131.51 × 53.86
  4. Step 4: Simplify right side
    95.29x = 7,082.80
  5. Step 5: Solve for x
    x = 7,082.80/95.29
  6. Step 6: Final answer
    x = 74.33

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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.