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Finding the Fourth Proportional to 409.89, 565.21 and 269.97

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Solution

The fourth proportional to 409.89, 565.21 and 269.97 is: 372.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.89 : 565.21 = 269.97 : x
  2. Step 2: Convert to fraction form
    409.89/565.21 = 269.97/x
  3. Step 3: Cross multiply
    409.89x = 565.21 × 269.97
  4. Step 4: Simplify right side
    409.89x = 152,587.96
  5. Step 5: Solve for x
    x = 152,587.96/409.89
  6. Step 6: Final answer
    x = 372.26

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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.