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Finding the Fourth Proportional to 270.78, 402.91 and 269.87

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Solution

The fourth proportional to 270.78, 402.91 and 269.87 is: 401.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.78 : 402.91 = 269.87 : x
  2. Step 2: Convert to fraction form
    270.78/402.91 = 269.87/x
  3. Step 3: Cross multiply
    270.78x = 402.91 × 269.87
  4. Step 4: Simplify right side
    270.78x = 108,731.31
  5. Step 5: Solve for x
    x = 108,731.31/270.78
  6. Step 6: Final answer
    x = 401.56

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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.