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Finding the Fourth Proportional to 141.46, 194.08 and 134.57

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Solution

The fourth proportional to 141.46, 194.08 and 134.57 is: 184.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.46 : 194.08 = 134.57 : x
  2. Step 2: Convert to fraction form
    141.46/194.08 = 134.57/x
  3. Step 3: Cross multiply
    141.46x = 194.08 × 134.57
  4. Step 4: Simplify right side
    141.46x = 26,116.67
  5. Step 5: Solve for x
    x = 26,116.67/141.46
  6. Step 6: Final answer
    x = 184.63

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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.