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Finding the Fourth Proportional to 252.20, 380.02 and 207.55

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Solution

The fourth proportional to 252.20, 380.02 and 207.55 is: 312.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.20 : 380.02 = 207.55 : x
  2. Step 2: Convert to fraction form
    252.20/380.02 = 207.55/x
  3. Step 3: Cross multiply
    252.20x = 380.02 × 207.55
  4. Step 4: Simplify right side
    252.20x = 78,872.46
  5. Step 5: Solve for x
    x = 78,872.46/252.20
  6. Step 6: Final answer
    x = 312.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.