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Finding the Fourth Proportional to 249.37, 343.75 and 194.01

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Solution

The fourth proportional to 249.37, 343.75 and 194.01 is: 267.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.37 : 343.75 = 194.01 : x
  2. Step 2: Convert to fraction form
    249.37/343.75 = 194.01/x
  3. Step 3: Cross multiply
    249.37x = 343.75 × 194.01
  4. Step 4: Simplify right side
    249.37x = 66,689.22
  5. Step 5: Solve for x
    x = 66,689.22/249.37
  6. Step 6: Final answer
    x = 267.44

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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.