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Finding the Fourth Proportional to 204.34, 282.01 and 121.46

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Solution

The fourth proportional to 204.34, 282.01 and 121.46 is: 167.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.34 : 282.01 = 121.46 : x
  2. Step 2: Convert to fraction form
    204.34/282.01 = 121.46/x
  3. Step 3: Cross multiply
    204.34x = 282.01 × 121.46
  4. Step 4: Simplify right side
    204.34x = 34,252.93
  5. Step 5: Solve for x
    x = 34,252.93/204.34
  6. Step 6: Final answer
    x = 167.63

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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.