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Finding the Fourth Proportional to 76.43, 115.18 and 63.20

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Solution

The fourth proportional to 76.43, 115.18 and 63.20 is: 95.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.43 : 115.18 = 63.20 : x
  2. Step 2: Convert to fraction form
    76.43/115.18 = 63.20/x
  3. Step 3: Cross multiply
    76.43x = 115.18 × 63.20
  4. Step 4: Simplify right side
    76.43x = 7,279.51
  5. Step 5: Solve for x
    x = 7,279.51/76.43
  6. Step 6: Final answer
    x = 95.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.