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Finding the Fourth Proportional to 326.70, 487.49 and 272.70

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Solution

The fourth proportional to 326.70, 487.49 and 272.70 is: 406.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.70 : 487.49 = 272.70 : x
  2. Step 2: Convert to fraction form
    326.70/487.49 = 272.70/x
  3. Step 3: Cross multiply
    326.70x = 487.49 × 272.70
  4. Step 4: Simplify right side
    326.70x = 132,937.16
  5. Step 5: Solve for x
    x = 132,937.16/326.70
  6. Step 6: Final answer
    x = 406.91

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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.