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Finding the Fourth Proportional to 248.78, 341.80 and 199.58

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Solution

The fourth proportional to 248.78, 341.80 and 199.58 is: 274.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.78 : 341.80 = 199.58 : x
  2. Step 2: Convert to fraction form
    248.78/341.80 = 199.58/x
  3. Step 3: Cross multiply
    248.78x = 341.80 × 199.58
  4. Step 4: Simplify right side
    248.78x = 68,216.44
  5. Step 5: Solve for x
    x = 68,216.44/248.78
  6. Step 6: Final answer
    x = 274.20

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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.