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Finding the Fourth Proportional to 206.40, 308.10 and 205.92

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Solution

The fourth proportional to 206.40, 308.10 and 205.92 is: 307.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.40 : 308.10 = 205.92 : x
  2. Step 2: Convert to fraction form
    206.40/308.10 = 205.92/x
  3. Step 3: Cross multiply
    206.40x = 308.10 × 205.92
  4. Step 4: Simplify right side
    206.40x = 63,443.95
  5. Step 5: Solve for x
    x = 63,443.95/206.40
  6. Step 6: Final answer
    x = 307.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.