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Finding the Fourth Proportional to 177.85, 245.39 and 112.31

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Solution

The fourth proportional to 177.85, 245.39 and 112.31 is: 154.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.85 : 245.39 = 112.31 : x
  2. Step 2: Convert to fraction form
    177.85/245.39 = 112.31/x
  3. Step 3: Cross multiply
    177.85x = 245.39 × 112.31
  4. Step 4: Simplify right side
    177.85x = 27,559.75
  5. Step 5: Solve for x
    x = 27,559.75/177.85
  6. Step 6: Final answer
    x = 154.96

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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.