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Finding the Fourth Proportional to 269.88, 402.96 and 231.30

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Solution

The fourth proportional to 269.88, 402.96 and 231.30 is: 345.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.88 : 402.96 = 231.30 : x
  2. Step 2: Convert to fraction form
    269.88/402.96 = 231.30/x
  3. Step 3: Cross multiply
    269.88x = 402.96 × 231.30
  4. Step 4: Simplify right side
    269.88x = 93,204.65
  5. Step 5: Solve for x
    x = 93,204.65/269.88
  6. Step 6: Final answer
    x = 345.36

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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.