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Finding the Fourth Proportional to 206.38, 309.60 and 110.20

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Solution

The fourth proportional to 206.38, 309.60 and 110.20 is: 165.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.38 : 309.60 = 110.20 : x
  2. Step 2: Convert to fraction form
    206.38/309.60 = 110.20/x
  3. Step 3: Cross multiply
    206.38x = 309.60 × 110.20
  4. Step 4: Simplify right side
    206.38x = 34,117.92
  5. Step 5: Solve for x
    x = 34,117.92/206.38
  6. Step 6: Final answer
    x = 165.32

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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.