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Finding the Fourth Proportional to 248.95, 343.65 and 193.78

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Solution

The fourth proportional to 248.95, 343.65 and 193.78 is: 267.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.95 : 343.65 = 193.78 : x
  2. Step 2: Convert to fraction form
    248.95/343.65 = 193.78/x
  3. Step 3: Cross multiply
    248.95x = 343.65 × 193.78
  4. Step 4: Simplify right side
    248.95x = 66,592.50
  5. Step 5: Solve for x
    x = 66,592.50/248.95
  6. Step 6: Final answer
    x = 267.49

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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.