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Finding the Fourth Proportional to 141.62, 194.53 and 137.52

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Solution

The fourth proportional to 141.62, 194.53 and 137.52 is: 188.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.62 : 194.53 = 137.52 : x
  2. Step 2: Convert to fraction form
    141.62/194.53 = 137.52/x
  3. Step 3: Cross multiply
    141.62x = 194.53 × 137.52
  4. Step 4: Simplify right side
    141.62x = 26,751.77
  5. Step 5: Solve for x
    x = 26,751.77/141.62
  6. Step 6: Final answer
    x = 188.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.