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Finding the Fourth Proportional to 206.91, 285.57 and 151.65

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Solution

The fourth proportional to 206.91, 285.57 and 151.65 is: 209.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.91 : 285.57 = 151.65 : x
  2. Step 2: Convert to fraction form
    206.91/285.57 = 151.65/x
  3. Step 3: Cross multiply
    206.91x = 285.57 × 151.65
  4. Step 4: Simplify right side
    206.91x = 43,306.69
  5. Step 5: Solve for x
    x = 43,306.69/206.91
  6. Step 6: Final answer
    x = 209.30

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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.