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Finding the Fourth Proportional to 918.65, 1,378.04 and 269.43

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Solution

The fourth proportional to 918.65, 1,378.04 and 269.43 is: 404.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.65 : 1,378.04 = 269.43 : x
  2. Step 2: Convert to fraction form
    918.65/1,378.04 = 269.43/x
  3. Step 3: Cross multiply
    918.65x = 1,378.04 × 269.43
  4. Step 4: Simplify right side
    918.65x = 371,283.97
  5. Step 5: Solve for x
    x = 371,283.97/918.65
  6. Step 6: Final answer
    x = 404.16

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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.