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Finding the Fourth Proportional to 230.80, 318.12 and 211.96

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Solution

The fourth proportional to 230.80, 318.12 and 211.96 is: 292.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.80 : 318.12 = 211.96 : x
  2. Step 2: Convert to fraction form
    230.80/318.12 = 211.96/x
  3. Step 3: Cross multiply
    230.80x = 318.12 × 211.96
  4. Step 4: Simplify right side
    230.80x = 67,428.72
  5. Step 5: Solve for x
    x = 67,428.72/230.80
  6. Step 6: Final answer
    x = 292.15

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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.