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Finding the Fourth Proportional to 230.15, 318.06 and 205.85

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Solution

The fourth proportional to 230.15, 318.06 and 205.85 is: 284.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.15 : 318.06 = 205.85 : x
  2. Step 2: Convert to fraction form
    230.15/318.06 = 205.85/x
  3. Step 3: Cross multiply
    230.15x = 318.06 × 205.85
  4. Step 4: Simplify right side
    230.15x = 65,473.45
  5. Step 5: Solve for x
    x = 65,473.45/230.15
  6. Step 6: Final answer
    x = 284.48

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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.