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Finding the Fourth Proportional to 249.88, 374.92 and 128.22

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Solution

The fourth proportional to 249.88, 374.92 and 128.22 is: 192.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.88 : 374.92 = 128.22 : x
  2. Step 2: Convert to fraction form
    249.88/374.92 = 128.22/x
  3. Step 3: Cross multiply
    249.88x = 374.92 × 128.22
  4. Step 4: Simplify right side
    249.88x = 48,072.24
  5. Step 5: Solve for x
    x = 48,072.24/249.88
  6. Step 6: Final answer
    x = 192.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.