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Finding the Fourth Proportional to 249.42, 343.97 and 156.17

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Solution

The fourth proportional to 249.42, 343.97 and 156.17 is: 215.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.42 : 343.97 = 156.17 : x
  2. Step 2: Convert to fraction form
    249.42/343.97 = 156.17/x
  3. Step 3: Cross multiply
    249.42x = 343.97 × 156.17
  4. Step 4: Simplify right side
    249.42x = 53,717.79
  5. Step 5: Solve for x
    x = 53,717.79/249.42
  6. Step 6: Final answer
    x = 215.37

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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.