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Finding the Fourth Proportional to 141.84, 194.31 and 136.64

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Solution

The fourth proportional to 141.84, 194.31 and 136.64 is: 187.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.84 : 194.31 = 136.64 : x
  2. Step 2: Convert to fraction form
    141.84/194.31 = 136.64/x
  3. Step 3: Cross multiply
    141.84x = 194.31 × 136.64
  4. Step 4: Simplify right side
    141.84x = 26,549.55
  5. Step 5: Solve for x
    x = 26,549.55/141.84
  6. Step 6: Final answer
    x = 187.18

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