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Finding the Fourth Proportional to 306.52, 457.37 and 269.61

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Solution

The fourth proportional to 306.52, 457.37 and 269.61 is: 402.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.52 : 457.37 = 269.61 : x
  2. Step 2: Convert to fraction form
    306.52/457.37 = 269.61/x
  3. Step 3: Cross multiply
    306.52x = 457.37 × 269.61
  4. Step 4: Simplify right side
    306.52x = 123,313.56
  5. Step 5: Solve for x
    x = 123,313.56/306.52
  6. Step 6: Final answer
    x = 402.31

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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.