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Finding the Fourth Proportional to 115.10, 171.84 and 96.87

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Solution

The fourth proportional to 115.10, 171.84 and 96.87 is: 144.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.10 : 171.84 = 96.87 : x
  2. Step 2: Convert to fraction form
    115.10/171.84 = 96.87/x
  3. Step 3: Cross multiply
    115.10x = 171.84 × 96.87
  4. Step 4: Simplify right side
    115.10x = 16,646.14
  5. Step 5: Solve for x
    x = 16,646.14/115.10
  6. Step 6: Final answer
    x = 144.62

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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.