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Finding the Fourth Proportional to 1,241.16, 1,861.68 and 363.63

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Solution

The fourth proportional to 1,241.16, 1,861.68 and 363.63 is: 545.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.16 : 1,861.68 = 363.63 : x
  2. Step 2: Convert to fraction form
    1,241.16/1,861.68 = 363.63/x
  3. Step 3: Cross multiply
    1,241.16x = 1,861.68 × 363.63
  4. Step 4: Simplify right side
    1,241.16x = 676,957.95
  5. Step 5: Solve for x
    x = 676,957.95/1,241.16
  6. Step 6: Final answer
    x = 545.42

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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.