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Finding the Fourth Proportional to 353.47, 527.62 and 327.41

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Solution

The fourth proportional to 353.47, 527.62 and 327.41 is: 488.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.47 : 527.62 = 327.41 : x
  2. Step 2: Convert to fraction form
    353.47/527.62 = 327.41/x
  3. Step 3: Cross multiply
    353.47x = 527.62 × 327.41
  4. Step 4: Simplify right side
    353.47x = 172,747.91
  5. Step 5: Solve for x
    x = 172,747.91/353.47
  6. Step 6: Final answer
    x = 488.73

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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.