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Finding the Fourth Proportional to 230.72, 346.05 and 76.76

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Solution

The fourth proportional to 230.72, 346.05 and 76.76 is: 115.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.72 : 346.05 = 76.76 : x
  2. Step 2: Convert to fraction form
    230.72/346.05 = 76.76/x
  3. Step 3: Cross multiply
    230.72x = 346.05 × 76.76
  4. Step 4: Simplify right side
    230.72x = 26,560.68
  5. Step 5: Solve for x
    x = 26,560.68/230.72
  6. Step 6: Final answer
    x = 115.12

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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.