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Finding the Fourth Proportional to 177.40, 244.92 and 138.16

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Solution

The fourth proportional to 177.40, 244.92 and 138.16 is: 190.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.40 : 244.92 = 138.16 : x
  2. Step 2: Convert to fraction form
    177.40/244.92 = 138.16/x
  3. Step 3: Cross multiply
    177.40x = 244.92 × 138.16
  4. Step 4: Simplify right side
    177.40x = 33,838.15
  5. Step 5: Solve for x
    x = 33,838.15/177.40
  6. Step 6: Final answer
    x = 190.74

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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.