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Finding the Fourth Proportional to 248.40, 341.10 and 198.90

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Solution

The fourth proportional to 248.40, 341.10 and 198.90 is: 273.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.40 : 341.10 = 198.90 : x
  2. Step 2: Convert to fraction form
    248.40/341.10 = 198.90/x
  3. Step 3: Cross multiply
    248.40x = 341.10 × 198.90
  4. Step 4: Simplify right side
    248.40x = 67,844.79
  5. Step 5: Solve for x
    x = 67,844.79/248.40
  6. Step 6: Final answer
    x = 273.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.