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Finding the Fourth Proportional to 206.80, 285.39 and 113.55

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Solution

The fourth proportional to 206.80, 285.39 and 113.55 is: 156.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.80 : 285.39 = 113.55 : x
  2. Step 2: Convert to fraction form
    206.80/285.39 = 113.55/x
  3. Step 3: Cross multiply
    206.80x = 285.39 × 113.55
  4. Step 4: Simplify right side
    206.80x = 32,405.11
  5. Step 5: Solve for x
    x = 32,405.11/206.80
  6. Step 6: Final answer
    x = 156.70

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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.