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Finding the Fourth Proportional to 177.78, 243.72 and 177.44

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Solution

The fourth proportional to 177.78, 243.72 and 177.44 is: 243.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.78 : 243.72 = 177.44 : x
  2. Step 2: Convert to fraction form
    177.78/243.72 = 177.44/x
  3. Step 3: Cross multiply
    177.78x = 243.72 × 177.44
  4. Step 4: Simplify right side
    177.78x = 43,245.68
  5. Step 5: Solve for x
    x = 43,245.68/177.78
  6. Step 6: Final answer
    x = 243.25

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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.