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Finding the Fourth Proportional to 206.70, 285.26 and 136.71

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Solution

The fourth proportional to 206.70, 285.26 and 136.71 is: 188.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.70 : 285.26 = 136.71 : x
  2. Step 2: Convert to fraction form
    206.70/285.26 = 136.71/x
  3. Step 3: Cross multiply
    206.70x = 285.26 × 136.71
  4. Step 4: Simplify right side
    206.70x = 38,995.78
  5. Step 5: Solve for x
    x = 38,995.78/206.70
  6. Step 6: Final answer
    x = 188.66

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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.