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Finding the Fourth Proportional to 204.49, 306.78 and 96.13

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Solution

The fourth proportional to 204.49, 306.78 and 96.13 is: 144.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.49 : 306.78 = 96.13 : x
  2. Step 2: Convert to fraction form
    204.49/306.78 = 96.13/x
  3. Step 3: Cross multiply
    204.49x = 306.78 × 96.13
  4. Step 4: Simplify right side
    204.49x = 29,490.76
  5. Step 5: Solve for x
    x = 29,490.76/204.49
  6. Step 6: Final answer
    x = 144.22

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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.