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Finding the Fourth Proportional to 255.81, 353.03 and 149.48

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Solution

The fourth proportional to 255.81, 353.03 and 149.48 is: 206.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.81 : 353.03 = 149.48 : x
  2. Step 2: Convert to fraction form
    255.81/353.03 = 149.48/x
  3. Step 3: Cross multiply
    255.81x = 353.03 × 149.48
  4. Step 4: Simplify right side
    255.81x = 52,770.92
  5. Step 5: Solve for x
    x = 52,770.92/255.81
  6. Step 6: Final answer
    x = 206.29

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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.