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Finding the Fourth Proportional to 246.48, 340.02 and 199.91

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Solution

The fourth proportional to 246.48, 340.02 and 199.91 is: 275.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.48 : 340.02 = 199.91 : x
  2. Step 2: Convert to fraction form
    246.48/340.02 = 199.91/x
  3. Step 3: Cross multiply
    246.48x = 340.02 × 199.91
  4. Step 4: Simplify right side
    246.48x = 67,972.97
  5. Step 5: Solve for x
    x = 67,972.97/246.48
  6. Step 6: Final answer
    x = 275.77

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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.