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Finding the Fourth Proportional to 76.70, 114.98 and 40.61

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Solution

The fourth proportional to 76.70, 114.98 and 40.61 is: 60.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.70 : 114.98 = 40.61 : x
  2. Step 2: Convert to fraction form
    76.70/114.98 = 40.61/x
  3. Step 3: Cross multiply
    76.70x = 114.98 × 40.61
  4. Step 4: Simplify right side
    76.70x = 4,668.56
  5. Step 5: Solve for x
    x = 4,668.56/76.70
  6. Step 6: Final answer
    x = 60.87

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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.