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Finding the Fourth Proportional to 204.66, 307.14 and 82.92

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Solution

The fourth proportional to 204.66, 307.14 and 82.92 is: 124.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.66 : 307.14 = 82.92 : x
  2. Step 2: Convert to fraction form
    204.66/307.14 = 82.92/x
  3. Step 3: Cross multiply
    204.66x = 307.14 × 82.92
  4. Step 4: Simplify right side
    204.66x = 25,468.05
  5. Step 5: Solve for x
    x = 25,468.05/204.66
  6. Step 6: Final answer
    x = 124.44

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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.