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Finding the Fourth Proportional to 230.71, 346.11 and 76.68

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Solution

The fourth proportional to 230.71, 346.11 and 76.68 is: 115.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.71 : 346.11 = 76.68 : x
  2. Step 2: Convert to fraction form
    230.71/346.11 = 76.68/x
  3. Step 3: Cross multiply
    230.71x = 346.11 × 76.68
  4. Step 4: Simplify right side
    230.71x = 26,539.33
  5. Step 5: Solve for x
    x = 26,539.33/230.71
  6. Step 6: Final answer
    x = 115.04

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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.