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Finding the Fourth Proportional to 206.57, 309.87 and 103.91

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Solution

The fourth proportional to 206.57, 309.87 and 103.91 is: 155.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.57 : 309.87 = 103.91 : x
  2. Step 2: Convert to fraction form
    206.57/309.87 = 103.91/x
  3. Step 3: Cross multiply
    206.57x = 309.87 × 103.91
  4. Step 4: Simplify right side
    206.57x = 32,197.04
  5. Step 5: Solve for x
    x = 32,197.04/206.57
  6. Step 6: Final answer
    x = 155.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.