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Finding the Fourth Proportional to 854.31, 1,281.14 and 269.22

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Solution

The fourth proportional to 854.31, 1,281.14 and 269.22 is: 403.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.31 : 1,281.14 = 269.22 : x
  2. Step 2: Convert to fraction form
    854.31/1,281.14 = 269.22/x
  3. Step 3: Cross multiply
    854.31x = 1,281.14 × 269.22
  4. Step 4: Simplify right side
    854.31x = 344,902.11
  5. Step 5: Solve for x
    x = 344,902.11/854.31
  6. Step 6: Final answer
    x = 403.72

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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.