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Finding the Fourth Proportional to 204.42, 282.14 and 125.74

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Solution

The fourth proportional to 204.42, 282.14 and 125.74 is: 173.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.42 : 282.14 = 125.74 : x
  2. Step 2: Convert to fraction form
    204.42/282.14 = 125.74/x
  3. Step 3: Cross multiply
    204.42x = 282.14 × 125.74
  4. Step 4: Simplify right side
    204.42x = 35,476.28
  5. Step 5: Solve for x
    x = 35,476.28/204.42
  6. Step 6: Final answer
    x = 173.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.