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Finding the Fourth Proportional to 270.31, 402.24 and 269.40

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Solution

The fourth proportional to 270.31, 402.24 and 269.40 is: 400.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.31 : 402.24 = 269.40 : x
  2. Step 2: Convert to fraction form
    270.31/402.24 = 269.40/x
  3. Step 3: Cross multiply
    270.31x = 402.24 × 269.40
  4. Step 4: Simplify right side
    270.31x = 108,363.46
  5. Step 5: Solve for x
    x = 108,363.46/270.31
  6. Step 6: Final answer
    x = 400.89

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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.