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Finding the Fourth Proportional to 230.86, 318.50 and 160.78

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Solution

The fourth proportional to 230.86, 318.50 and 160.78 is: 221.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.86 : 318.50 = 160.78 : x
  2. Step 2: Convert to fraction form
    230.86/318.50 = 160.78/x
  3. Step 3: Cross multiply
    230.86x = 318.50 × 160.78
  4. Step 4: Simplify right side
    230.86x = 51,208.43
  5. Step 5: Solve for x
    x = 51,208.43/230.86
  6. Step 6: Final answer
    x = 221.82

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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.