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Finding the Fourth Proportional to 254.40, 352.66 and 249.92

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Solution

The fourth proportional to 254.40, 352.66 and 249.92 is: 346.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.40 : 352.66 = 249.92 : x
  2. Step 2: Convert to fraction form
    254.40/352.66 = 249.92/x
  3. Step 3: Cross multiply
    254.40x = 352.66 × 249.92
  4. Step 4: Simplify right side
    254.40x = 88,136.79
  5. Step 5: Solve for x
    x = 88,136.79/254.40
  6. Step 6: Final answer
    x = 346.45

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.