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Finding the Fourth Proportional to 140.42, 194.04 and 128.27

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Solution

The fourth proportional to 140.42, 194.04 and 128.27 is: 177.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.42 : 194.04 = 128.27 : x
  2. Step 2: Convert to fraction form
    140.42/194.04 = 128.27/x
  3. Step 3: Cross multiply
    140.42x = 194.04 × 128.27
  4. Step 4: Simplify right side
    140.42x = 24,888.54
  5. Step 5: Solve for x
    x = 24,888.54/140.42
  6. Step 6: Final answer
    x = 177.25

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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.