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Finding the Fourth Proportional to 76.47, 114.48 and 42.15

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Solution

The fourth proportional to 76.47, 114.48 and 42.15 is: 63.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.47 : 114.48 = 42.15 : x
  2. Step 2: Convert to fraction form
    76.47/114.48 = 42.15/x
  3. Step 3: Cross multiply
    76.47x = 114.48 × 42.15
  4. Step 4: Simplify right side
    76.47x = 4,824.62
  5. Step 5: Solve for x
    x = 4,824.62/76.47
  6. Step 6: Final answer
    x = 63.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.