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Finding the Fourth Proportional to 206.32, 308.80 and 114.80

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Solution

The fourth proportional to 206.32, 308.80 and 114.80 is: 171.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.32 : 308.80 = 114.80 : x
  2. Step 2: Convert to fraction form
    206.32/308.80 = 114.80/x
  3. Step 3: Cross multiply
    206.32x = 308.80 × 114.80
  4. Step 4: Simplify right side
    206.32x = 35,450.24
  5. Step 5: Solve for x
    x = 35,450.24/206.32
  6. Step 6: Final answer
    x = 171.82

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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.