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Finding the Fourth Proportional to 269.97, 403.22 and 233.52

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Solution

The fourth proportional to 269.97, 403.22 and 233.52 is: 348.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.97 : 403.22 = 233.52 : x
  2. Step 2: Convert to fraction form
    269.97/403.22 = 233.52/x
  3. Step 3: Cross multiply
    269.97x = 403.22 × 233.52
  4. Step 4: Simplify right side
    269.97x = 94,159.01
  5. Step 5: Solve for x
    x = 94,159.01/269.97
  6. Step 6: Final answer
    x = 348.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.