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Finding the Fourth Proportional to 397.53, 593.17 and 353.48

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Solution

The fourth proportional to 397.53, 593.17 and 353.48 is: 527.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.53 : 593.17 = 353.48 : x
  2. Step 2: Convert to fraction form
    397.53/593.17 = 353.48/x
  3. Step 3: Cross multiply
    397.53x = 593.17 × 353.48
  4. Step 4: Simplify right side
    397.53x = 209,669.88
  5. Step 5: Solve for x
    x = 209,669.88/397.53
  6. Step 6: Final answer
    x = 527.43

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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.