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Finding the Fourth Proportional to 281.60, 424.92 and 270.88

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Solution

The fourth proportional to 281.60, 424.92 and 270.88 is: 408.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.60 : 424.92 = 270.88 : x
  2. Step 2: Convert to fraction form
    281.60/424.92 = 270.88/x
  3. Step 3: Cross multiply
    281.60x = 424.92 × 270.88
  4. Step 4: Simplify right side
    281.60x = 115,102.33
  5. Step 5: Solve for x
    x = 115,102.33/281.60
  6. Step 6: Final answer
    x = 408.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.