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Finding the Fourth Proportional to 269.52, 401.84 and 230.64

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Solution

The fourth proportional to 269.52, 401.84 and 230.64 is: 343.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.52 : 401.84 = 230.64 : x
  2. Step 2: Convert to fraction form
    269.52/401.84 = 230.64/x
  3. Step 3: Cross multiply
    269.52x = 401.84 × 230.64
  4. Step 4: Simplify right side
    269.52x = 92,680.38
  5. Step 5: Solve for x
    x = 92,680.38/269.52
  6. Step 6: Final answer
    x = 343.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.