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Finding the Fourth Proportional to 396.17, 545.97 and 285.46

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Solution

The fourth proportional to 396.17, 545.97 and 285.46 is: 393.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.17 : 545.97 = 285.46 : x
  2. Step 2: Convert to fraction form
    396.17/545.97 = 285.46/x
  3. Step 3: Cross multiply
    396.17x = 545.97 × 285.46
  4. Step 4: Simplify right side
    396.17x = 155,852.60
  5. Step 5: Solve for x
    x = 155,852.60/396.17
  6. Step 6: Final answer
    x = 393.40

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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.