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Finding the Fourth Proportional to 141.65, 212.85 and 76.69

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Solution

The fourth proportional to 141.65, 212.85 and 76.69 is: 115.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.65 : 212.85 = 76.69 : x
  2. Step 2: Convert to fraction form
    141.65/212.85 = 76.69/x
  3. Step 3: Cross multiply
    141.65x = 212.85 × 76.69
  4. Step 4: Simplify right side
    141.65x = 16,323.73
  5. Step 5: Solve for x
    x = 16,323.73/141.65
  6. Step 6: Final answer
    x = 115.24

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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.