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Finding the Fourth Proportional to 397.68, 593.43 and 356.82

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Solution

The fourth proportional to 397.68, 593.43 and 356.82 is: 532.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.68 : 593.43 = 356.82 : x
  2. Step 2: Convert to fraction form
    397.68/593.43 = 356.82/x
  3. Step 3: Cross multiply
    397.68x = 593.43 × 356.82
  4. Step 4: Simplify right side
    397.68x = 211,747.69
  5. Step 5: Solve for x
    x = 211,747.69/397.68
  6. Step 6: Final answer
    x = 532.46

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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.