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Finding the Fourth Proportional to 402.49, 555.90 and 269.49

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Solution

The fourth proportional to 402.49, 555.90 and 269.49 is: 372.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.49 : 555.90 = 269.49 : x
  2. Step 2: Convert to fraction form
    402.49/555.90 = 269.49/x
  3. Step 3: Cross multiply
    402.49x = 555.90 × 269.49
  4. Step 4: Simplify right side
    402.49x = 149,805.87
  5. Step 5: Solve for x
    x = 149,805.87/402.49
  6. Step 6: Final answer
    x = 372.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.