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Finding the Fourth Proportional to 269.96, 404.32 and 230.49

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Solution

The fourth proportional to 269.96, 404.32 and 230.49 is: 345.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.96 : 404.32 = 230.49 : x
  2. Step 2: Convert to fraction form
    269.96/404.32 = 230.49/x
  3. Step 3: Cross multiply
    269.96x = 404.32 × 230.49
  4. Step 4: Simplify right side
    269.96x = 93,191.72
  5. Step 5: Solve for x
    x = 93,191.72/269.96
  6. Step 6: Final answer
    x = 345.21

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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.