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Finding the Fourth Proportional to 854.27, 1,281.40 and 237.97

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Solution

The fourth proportional to 854.27, 1,281.40 and 237.97 is: 356.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.27 : 1,281.40 = 237.97 : x
  2. Step 2: Convert to fraction form
    854.27/1,281.40 = 237.97/x
  3. Step 3: Cross multiply
    854.27x = 1,281.40 × 237.97
  4. Step 4: Simplify right side
    854.27x = 304,935.76
  5. Step 5: Solve for x
    x = 304,935.76/854.27
  6. Step 6: Final answer
    x = 356.96

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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.