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Finding the Fourth Proportional to 204.29, 305.66 and 121.72

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Solution

The fourth proportional to 204.29, 305.66 and 121.72 is: 182.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.29 : 305.66 = 121.72 : x
  2. Step 2: Convert to fraction form
    204.29/305.66 = 121.72/x
  3. Step 3: Cross multiply
    204.29x = 305.66 × 121.72
  4. Step 4: Simplify right side
    204.29x = 37,203.41
  5. Step 5: Solve for x
    x = 37,203.41/204.29
  6. Step 6: Final answer
    x = 182.12

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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.