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Finding the Fourth Proportional to 204.67, 282.32 and 121.72

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Solution

The fourth proportional to 204.67, 282.32 and 121.72 is: 167.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.67 : 282.32 = 121.72 : x
  2. Step 2: Convert to fraction form
    204.67/282.32 = 121.72/x
  3. Step 3: Cross multiply
    204.67x = 282.32 × 121.72
  4. Step 4: Simplify right side
    204.67x = 34,362.68
  5. Step 5: Solve for x
    x = 34,362.68/204.67
  6. Step 6: Final answer
    x = 167.89

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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.