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Finding the Fourth Proportional to 396.16, 545.44 and 337.02

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Solution

The fourth proportional to 396.16, 545.44 and 337.02 is: 464.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.16 : 545.44 = 337.02 : x
  2. Step 2: Convert to fraction form
    396.16/545.44 = 337.02/x
  3. Step 3: Cross multiply
    396.16x = 545.44 × 337.02
  4. Step 4: Simplify right side
    396.16x = 183,824.19
  5. Step 5: Solve for x
    x = 183,824.19/396.16
  6. Step 6: Final answer
    x = 464.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.