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Finding the Fourth Proportional to 396.30, 597.42 and 369.87

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Solution

The fourth proportional to 396.30, 597.42 and 369.87 is: 557.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.30 : 597.42 = 369.87 : x
  2. Step 2: Convert to fraction form
    396.30/597.42 = 369.87/x
  3. Step 3: Cross multiply
    396.30x = 597.42 × 369.87
  4. Step 4: Simplify right side
    396.30x = 220,967.74
  5. Step 5: Solve for x
    x = 220,967.74/396.30
  6. Step 6: Final answer
    x = 557.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.