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Finding the Fourth Proportional to 230.85, 342.63 and 219.92

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Solution

The fourth proportional to 230.85, 342.63 and 219.92 is: 326.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.85 : 342.63 = 219.92 : x
  2. Step 2: Convert to fraction form
    230.85/342.63 = 219.92/x
  3. Step 3: Cross multiply
    230.85x = 342.63 × 219.92
  4. Step 4: Simplify right side
    230.85x = 75,349.48
  5. Step 5: Solve for x
    x = 75,349.48/230.85
  6. Step 6: Final answer
    x = 326.40

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.