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Finding the Fourth Proportional to 366.49, 549.77 and 285.43

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Solution

The fourth proportional to 366.49, 549.77 and 285.43 is: 428.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.49 : 549.77 = 285.43 : x
  2. Step 2: Convert to fraction form
    366.49/549.77 = 285.43/x
  3. Step 3: Cross multiply
    366.49x = 549.77 × 285.43
  4. Step 4: Simplify right side
    366.49x = 156,920.85
  5. Step 5: Solve for x
    x = 156,920.85/366.49
  6. Step 6: Final answer
    x = 428.17

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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.