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Finding the Fourth Proportional to 206.04, 308.85 and 97.86

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Solution

The fourth proportional to 206.04, 308.85 and 97.86 is: 146.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.04 : 308.85 = 97.86 : x
  2. Step 2: Convert to fraction form
    206.04/308.85 = 97.86/x
  3. Step 3: Cross multiply
    206.04x = 308.85 × 97.86
  4. Step 4: Simplify right side
    206.04x = 30,224.06
  5. Step 5: Solve for x
    x = 30,224.06/206.04
  6. Step 6: Final answer
    x = 146.69

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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.