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Finding the Fourth Proportional to 206.20, 308.95 and 162.70

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Solution

The fourth proportional to 206.20, 308.95 and 162.70 is: 243.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.20 : 308.95 = 162.70 : x
  2. Step 2: Convert to fraction form
    206.20/308.95 = 162.70/x
  3. Step 3: Cross multiply
    206.20x = 308.95 × 162.70
  4. Step 4: Simplify right side
    206.20x = 50,266.17
  5. Step 5: Solve for x
    x = 50,266.17/206.20
  6. Step 6: Final answer
    x = 243.77

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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.