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Finding the Fourth Proportional to 206.16, 308.51 and 129.16

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Solution

The fourth proportional to 206.16, 308.51 and 129.16 is: 193.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.16 : 308.51 = 129.16 : x
  2. Step 2: Convert to fraction form
    206.16/308.51 = 129.16/x
  3. Step 3: Cross multiply
    206.16x = 308.51 × 129.16
  4. Step 4: Simplify right side
    206.16x = 39,847.15
  5. Step 5: Solve for x
    x = 39,847.15/206.16
  6. Step 6: Final answer
    x = 193.28

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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.