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Finding the Fourth Proportional to 204.04, 305.99 and 112.78

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Solution

The fourth proportional to 204.04, 305.99 and 112.78 is: 169.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.04 : 305.99 = 112.78 : x
  2. Step 2: Convert to fraction form
    204.04/305.99 = 112.78/x
  3. Step 3: Cross multiply
    204.04x = 305.99 × 112.78
  4. Step 4: Simplify right side
    204.04x = 34,507.46
  5. Step 5: Solve for x
    x = 34,507.46/204.04
  6. Step 6: Final answer
    x = 169.13

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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.