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Finding the Fourth Proportional to 177.32, 244.70 and 111.86

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Solution

The fourth proportional to 177.32, 244.70 and 111.86 is: 154.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.32 : 244.70 = 111.86 : x
  2. Step 2: Convert to fraction form
    177.32/244.70 = 111.86/x
  3. Step 3: Cross multiply
    177.32x = 244.70 × 111.86
  4. Step 4: Simplify right side
    177.32x = 27,372.14
  5. Step 5: Solve for x
    x = 27,372.14/177.32
  6. Step 6: Final answer
    x = 154.37

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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.