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Finding the Fourth Proportional to 177.60, 244.80 and 138.72

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Solution

The fourth proportional to 177.60, 244.80 and 138.72 is: 191.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.60 : 244.80 = 138.72 : x
  2. Step 2: Convert to fraction form
    177.60/244.80 = 138.72/x
  3. Step 3: Cross multiply
    177.60x = 244.80 × 138.72
  4. Step 4: Simplify right side
    177.60x = 33,958.66
  5. Step 5: Solve for x
    x = 33,958.66/177.60
  6. Step 6: Final answer
    x = 191.21

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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.