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Finding the Fourth Proportional to 76.48, 114.78 and 40.42

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Solution

The fourth proportional to 76.48, 114.78 and 40.42 is: 60.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.48 : 114.78 = 40.42 : x
  2. Step 2: Convert to fraction form
    76.48/114.78 = 40.42/x
  3. Step 3: Cross multiply
    76.48x = 114.78 × 40.42
  4. Step 4: Simplify right side
    76.48x = 4,639.41
  5. Step 5: Solve for x
    x = 4,639.41/76.48
  6. Step 6: Final answer
    x = 60.66

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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.