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Finding the Fourth Proportional to 177.24, 244.68 and 137.82

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Solution

The fourth proportional to 177.24, 244.68 and 137.82 is: 190.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.24 : 244.68 = 137.82 : x
  2. Step 2: Convert to fraction form
    177.24/244.68 = 137.82/x
  3. Step 3: Cross multiply
    177.24x = 244.68 × 137.82
  4. Step 4: Simplify right side
    177.24x = 33,721.28
  5. Step 5: Solve for x
    x = 33,721.28/177.24
  6. Step 6: Final answer
    x = 190.26

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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.