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Finding the Fourth Proportional to 322.71, 481.37 and 291.56

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Solution

The fourth proportional to 322.71, 481.37 and 291.56 is: 434.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.71 : 481.37 = 291.56 : x
  2. Step 2: Convert to fraction form
    322.71/481.37 = 291.56/x
  3. Step 3: Cross multiply
    322.71x = 481.37 × 291.56
  4. Step 4: Simplify right side
    322.71x = 140,351.57
  5. Step 5: Solve for x
    x = 140,351.57/322.71
  6. Step 6: Final answer
    x = 434.92

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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.