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Finding the Fourth Proportional to 254.71, 351.49 and 149.79

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Solution

The fourth proportional to 254.71, 351.49 and 149.79 is: 206.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.71 : 351.49 = 149.79 : x
  2. Step 2: Convert to fraction form
    254.71/351.49 = 149.79/x
  3. Step 3: Cross multiply
    254.71x = 351.49 × 149.79
  4. Step 4: Simplify right side
    254.71x = 52,648.94
  5. Step 5: Solve for x
    x = 52,648.94/254.71
  6. Step 6: Final answer
    x = 206.71

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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.