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Finding the Fourth Proportional to 254.42, 348.82 and 249.56

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Solution

The fourth proportional to 254.42, 348.82 and 249.56 is: 342.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.42 : 348.82 = 249.56 : x
  2. Step 2: Convert to fraction form
    254.42/348.82 = 249.56/x
  3. Step 3: Cross multiply
    254.42x = 348.82 × 249.56
  4. Step 4: Simplify right side
    254.42x = 87,051.52
  5. Step 5: Solve for x
    x = 87,051.52/254.42
  6. Step 6: Final answer
    x = 342.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.