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Finding the Fourth Proportional to 104.31, 144.16 and 76.87

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Solution

The fourth proportional to 104.31, 144.16 and 76.87 is: 106.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.31 : 144.16 = 76.87 : x
  2. Step 2: Convert to fraction form
    104.31/144.16 = 76.87/x
  3. Step 3: Cross multiply
    104.31x = 144.16 × 76.87
  4. Step 4: Simplify right side
    104.31x = 11,080.86
  5. Step 5: Solve for x
    x = 11,080.86/104.31
  6. Step 6: Final answer
    x = 106.24

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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.