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Finding the Fourth Proportional to 206.91, 285.66 and 158.04

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Solution

The fourth proportional to 206.91, 285.66 and 158.04 is: 218.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.91 : 285.66 = 158.04 : x
  2. Step 2: Convert to fraction form
    206.91/285.66 = 158.04/x
  3. Step 3: Cross multiply
    206.91x = 285.66 × 158.04
  4. Step 4: Simplify right side
    206.91x = 45,145.71
  5. Step 5: Solve for x
    x = 45,145.71/206.91
  6. Step 6: Final answer
    x = 218.19

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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.