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Finding the Fourth Proportional to 230.92, 346.32 and 122.66

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Solution

The fourth proportional to 230.92, 346.32 and 122.66 is: 183.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.92 : 346.32 = 122.66 : x
  2. Step 2: Convert to fraction form
    230.92/346.32 = 122.66/x
  3. Step 3: Cross multiply
    230.92x = 346.32 × 122.66
  4. Step 4: Simplify right side
    230.92x = 42,479.61
  5. Step 5: Solve for x
    x = 42,479.61/230.92
  6. Step 6: Final answer
    x = 183.96

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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.