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Finding the Fourth Proportional to 918.71, 1,377.89 and 269.29

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Solution

The fourth proportional to 918.71, 1,377.89 and 269.29 is: 403.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.71 : 1,377.89 = 269.29 : x
  2. Step 2: Convert to fraction form
    918.71/1,377.89 = 269.29/x
  3. Step 3: Cross multiply
    918.71x = 1,377.89 × 269.29
  4. Step 4: Simplify right side
    918.71x = 371,045.11
  5. Step 5: Solve for x
    x = 371,045.11/918.71
  6. Step 6: Final answer
    x = 403.88

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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.