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Finding the Fourth Proportional to 918.31, 1,377.49 and 269.04

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Solution

The fourth proportional to 918.31, 1,377.49 and 269.04 is: 403.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.31 : 1,377.49 = 269.04 : x
  2. Step 2: Convert to fraction form
    918.31/1,377.49 = 269.04/x
  3. Step 3: Cross multiply
    918.31x = 1,377.49 × 269.04
  4. Step 4: Simplify right side
    918.31x = 370,603.35
  5. Step 5: Solve for x
    x = 370,603.35/918.31
  6. Step 6: Final answer
    x = 403.57

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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.