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Finding the Fourth Proportional to 269.52, 372.29 and 223.08

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Solution

The fourth proportional to 269.52, 372.29 and 223.08 is: 308.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.52 : 372.29 = 223.08 : x
  2. Step 2: Convert to fraction form
    269.52/372.29 = 223.08/x
  3. Step 3: Cross multiply
    269.52x = 372.29 × 223.08
  4. Step 4: Simplify right side
    269.52x = 83,049.34
  5. Step 5: Solve for x
    x = 83,049.34/269.52
  6. Step 6: Final answer
    x = 308.14

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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.