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Finding the Fourth Proportional to 206.47, 309.37 and 129.45

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Solution

The fourth proportional to 206.47, 309.37 and 129.45 is: 193.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.47 : 309.37 = 129.45 : x
  2. Step 2: Convert to fraction form
    206.47/309.37 = 129.45/x
  3. Step 3: Cross multiply
    206.47x = 309.37 × 129.45
  4. Step 4: Simplify right side
    206.47x = 40,047.95
  5. Step 5: Solve for x
    x = 40,047.95/206.47
  6. Step 6: Final answer
    x = 193.96

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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.