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Finding the Fourth Proportional to 249.22, 343.97 and 151.06

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Solution

The fourth proportional to 249.22, 343.97 and 151.06 is: 208.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.22 : 343.97 = 151.06 : x
  2. Step 2: Convert to fraction form
    249.22/343.97 = 151.06/x
  3. Step 3: Cross multiply
    249.22x = 343.97 × 151.06
  4. Step 4: Simplify right side
    249.22x = 51,960.11
  5. Step 5: Solve for x
    x = 51,960.11/249.22
  6. Step 6: Final answer
    x = 208.49

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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.