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Finding the Fourth Proportional to 366.46, 549.42 and 203.92

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Solution

The fourth proportional to 366.46, 549.42 and 203.92 is: 305.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.46 : 549.42 = 203.92 : x
  2. Step 2: Convert to fraction form
    366.46/549.42 = 203.92/x
  3. Step 3: Cross multiply
    366.46x = 549.42 × 203.92
  4. Step 4: Simplify right side
    366.46x = 112,035.59
  5. Step 5: Solve for x
    x = 112,035.59/366.46
  6. Step 6: Final answer
    x = 305.73

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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.