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Finding the Fourth Proportional to 397.46, 595.56 and 329.24

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Solution

The fourth proportional to 397.46, 595.56 and 329.24 is: 493.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.46 : 595.56 = 329.24 : x
  2. Step 2: Convert to fraction form
    397.46/595.56 = 329.24/x
  3. Step 3: Cross multiply
    397.46x = 595.56 × 329.24
  4. Step 4: Simplify right side
    397.46x = 196,082.17
  5. Step 5: Solve for x
    x = 196,082.17/397.46
  6. Step 6: Final answer
    x = 493.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.