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Finding the Fourth Proportional to 206.78, 309.96 and 98.46

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Solution

The fourth proportional to 206.78, 309.96 and 98.46 is: 147.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.78 : 309.96 = 98.46 : x
  2. Step 2: Convert to fraction form
    206.78/309.96 = 98.46/x
  3. Step 3: Cross multiply
    206.78x = 309.96 × 98.46
  4. Step 4: Simplify right side
    206.78x = 30,518.66
  5. Step 5: Solve for x
    x = 30,518.66/206.78
  6. Step 6: Final answer
    x = 147.59

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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.