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Finding the Fourth Proportional to 177.58, 244.96 and 112.06

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Solution

The fourth proportional to 177.58, 244.96 and 112.06 is: 154.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.58 : 244.96 = 112.06 : x
  2. Step 2: Convert to fraction form
    177.58/244.96 = 112.06/x
  3. Step 3: Cross multiply
    177.58x = 244.96 × 112.06
  4. Step 4: Simplify right side
    177.58x = 27,450.22
  5. Step 5: Solve for x
    x = 27,450.22/177.58
  6. Step 6: Final answer
    x = 154.58

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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.