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Finding the Fourth Proportional to 206.12, 309 and 97.94

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Solution

The fourth proportional to 206.12, 309 and 97.94 is: 146.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.12 : 309 = 97.94 : x
  2. Step 2: Convert to fraction form
    206.12/309 = 97.94/x
  3. Step 3: Cross multiply
    206.12x = 309 × 97.94
  4. Step 4: Simplify right side
    206.12x = 30,263.46
  5. Step 5: Solve for x
    x = 30,263.46/206.12
  6. Step 6: Final answer
    x = 146.82

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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.