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Finding the Fourth Proportional to 292.42, 404.09 and 269.20

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Solution

The fourth proportional to 292.42, 404.09 and 269.20 is: 372.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.42 : 404.09 = 269.20 : x
  2. Step 2: Convert to fraction form
    292.42/404.09 = 269.20/x
  3. Step 3: Cross multiply
    292.42x = 404.09 × 269.20
  4. Step 4: Simplify right side
    292.42x = 108,781.03
  5. Step 5: Solve for x
    x = 108,781.03/292.42
  6. Step 6: Final answer
    x = 372.00

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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.