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Finding the Fourth Proportional to 206.88, 285.12 and 163.20

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Solution

The fourth proportional to 206.88, 285.12 and 163.20 is: 224.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.88 : 285.12 = 163.20 : x
  2. Step 2: Convert to fraction form
    206.88/285.12 = 163.20/x
  3. Step 3: Cross multiply
    206.88x = 285.12 × 163.20
  4. Step 4: Simplify right side
    206.88x = 46,531.58
  5. Step 5: Solve for x
    x = 46,531.58/206.88
  6. Step 6: Final answer
    x = 224.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.