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Finding the Fourth Proportional to 76.74, 114.99 and 42.42

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Solution

The fourth proportional to 76.74, 114.99 and 42.42 is: 63.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.74 : 114.99 = 42.42 : x
  2. Step 2: Convert to fraction form
    76.74/114.99 = 42.42/x
  3. Step 3: Cross multiply
    76.74x = 114.99 × 42.42
  4. Step 4: Simplify right side
    76.74x = 4,877.88
  5. Step 5: Solve for x
    x = 4,877.88/76.74
  6. Step 6: Final answer
    x = 63.56

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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.