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Finding the Fourth Proportional to 366.38, 548.88 and 204.20

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Solution

The fourth proportional to 366.38, 548.88 and 204.20 is: 305.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.38 : 548.88 = 204.20 : x
  2. Step 2: Convert to fraction form
    366.38/548.88 = 204.20/x
  3. Step 3: Cross multiply
    366.38x = 548.88 × 204.20
  4. Step 4: Simplify right side
    366.38x = 112,081.30
  5. Step 5: Solve for x
    x = 112,081.30/366.38
  6. Step 6: Final answer
    x = 305.92

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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.