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Finding the Fourth Proportional to 141.47, 194.65 and 137.89

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Solution

The fourth proportional to 141.47, 194.65 and 137.89 is: 189.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.47 : 194.65 = 137.89 : x
  2. Step 2: Convert to fraction form
    141.47/194.65 = 137.89/x
  3. Step 3: Cross multiply
    141.47x = 194.65 × 137.89
  4. Step 4: Simplify right side
    141.47x = 26,840.29
  5. Step 5: Solve for x
    x = 26,840.29/141.47
  6. Step 6: Final answer
    x = 189.72

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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.