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Finding the Fourth Proportional to 396.17, 545.98 and 285.45

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Solution

The fourth proportional to 396.17, 545.98 and 285.45 is: 393.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.17 : 545.98 = 285.45 : x
  2. Step 2: Convert to fraction form
    396.17/545.98 = 285.45/x
  3. Step 3: Cross multiply
    396.17x = 545.98 × 285.45
  4. Step 4: Simplify right side
    396.17x = 155,849.99
  5. Step 5: Solve for x
    x = 155,849.99/396.17
  6. Step 6: Final answer
    x = 393.39

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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.