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Finding the Fourth Proportional to 185.70, 254.89 and 177.78

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Solution

The fourth proportional to 185.70, 254.89 and 177.78 is: 244.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.70 : 254.89 = 177.78 : x
  2. Step 2: Convert to fraction form
    185.70/254.89 = 177.78/x
  3. Step 3: Cross multiply
    185.70x = 254.89 × 177.78
  4. Step 4: Simplify right side
    185.70x = 45,314.34
  5. Step 5: Solve for x
    x = 45,314.34/185.70
  6. Step 6: Final answer
    x = 244.02

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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.