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Finding the Fourth Proportional to 230.86, 318.18 and 204.04

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Solution

The fourth proportional to 230.86, 318.18 and 204.04 is: 281.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.86 : 318.18 = 204.04 : x
  2. Step 2: Convert to fraction form
    230.86/318.18 = 204.04/x
  3. Step 3: Cross multiply
    230.86x = 318.18 × 204.04
  4. Step 4: Simplify right side
    230.86x = 64,921.45
  5. Step 5: Solve for x
    x = 64,921.45/230.86
  6. Step 6: Final answer
    x = 281.22

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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.