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Finding the Fourth Proportional to 177.20, 244.64 and 121.91

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Solution

The fourth proportional to 177.20, 244.64 and 121.91 is: 168.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.20 : 244.64 = 121.91 : x
  2. Step 2: Convert to fraction form
    177.20/244.64 = 121.91/x
  3. Step 3: Cross multiply
    177.20x = 244.64 × 121.91
  4. Step 4: Simplify right side
    177.20x = 29,824.98
  5. Step 5: Solve for x
    x = 29,824.98/177.20
  6. Step 6: Final answer
    x = 168.32

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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.