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Finding the Fourth Proportional to 206.71, 285.31 and 123.87

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Solution

The fourth proportional to 206.71, 285.31 and 123.87 is: 170.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.71 : 285.31 = 123.87 : x
  2. Step 2: Convert to fraction form
    206.71/285.31 = 123.87/x
  3. Step 3: Cross multiply
    206.71x = 285.31 × 123.87
  4. Step 4: Simplify right side
    206.71x = 35,341.35
  5. Step 5: Solve for x
    x = 35,341.35/206.71
  6. Step 6: Final answer
    x = 170.97

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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.