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Finding the Fourth Proportional to 546.14, 818.27 and 363.90

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Solution

The fourth proportional to 546.14, 818.27 and 363.90 is: 545.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.14 : 818.27 = 363.90 : x
  2. Step 2: Convert to fraction form
    546.14/818.27 = 363.90/x
  3. Step 3: Cross multiply
    546.14x = 818.27 × 363.90
  4. Step 4: Simplify right side
    546.14x = 297,768.45
  5. Step 5: Solve for x
    x = 297,768.45/546.14
  6. Step 6: Final answer
    x = 545.22

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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.