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Finding the Fourth Proportional to 363.17, 543.99 and 285.77

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Solution

The fourth proportional to 363.17, 543.99 and 285.77 is: 428.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.17 : 543.99 = 285.77 : x
  2. Step 2: Convert to fraction form
    363.17/543.99 = 285.77/x
  3. Step 3: Cross multiply
    363.17x = 543.99 × 285.77
  4. Step 4: Simplify right side
    363.17x = 155,456.02
  5. Step 5: Solve for x
    x = 155,456.02/363.17
  6. Step 6: Final answer
    x = 428.05

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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.