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Finding the Fourth Proportional to 206.66, 285.28 and 136.72

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Solution

The fourth proportional to 206.66, 285.28 and 136.72 is: 188.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.66 : 285.28 = 136.72 : x
  2. Step 2: Convert to fraction form
    206.66/285.28 = 136.72/x
  3. Step 3: Cross multiply
    206.66x = 285.28 × 136.72
  4. Step 4: Simplify right side
    206.66x = 39,003.48
  5. Step 5: Solve for x
    x = 39,003.48/206.66
  6. Step 6: Final answer
    x = 188.73

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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.