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Finding the Fourth Proportional to 248.46, 342.62 and 195.92

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Solution

The fourth proportional to 248.46, 342.62 and 195.92 is: 270.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.46 : 342.62 = 195.92 : x
  2. Step 2: Convert to fraction form
    248.46/342.62 = 195.92/x
  3. Step 3: Cross multiply
    248.46x = 342.62 × 195.92
  4. Step 4: Simplify right side
    248.46x = 67,123.42
  5. Step 5: Solve for x
    x = 67,123.42/248.46
  6. Step 6: Final answer
    x = 270.16

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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.