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Finding the Fourth Proportional to 230.61, 318.30 and 165.12

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Solution

The fourth proportional to 230.61, 318.30 and 165.12 is: 227.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.61 : 318.30 = 165.12 : x
  2. Step 2: Convert to fraction form
    230.61/318.30 = 165.12/x
  3. Step 3: Cross multiply
    230.61x = 318.30 × 165.12
  4. Step 4: Simplify right side
    230.61x = 52,557.70
  5. Step 5: Solve for x
    x = 52,557.70/230.61
  6. Step 6: Final answer
    x = 227.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.