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Finding the Fourth Proportional to 140.78, 194.32 and 114.53

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Solution

The fourth proportional to 140.78, 194.32 and 114.53 is: 158.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.78 : 194.32 = 114.53 : x
  2. Step 2: Convert to fraction form
    140.78/194.32 = 114.53/x
  3. Step 3: Cross multiply
    140.78x = 194.32 × 114.53
  4. Step 4: Simplify right side
    140.78x = 22,254.94
  5. Step 5: Solve for x
    x = 22,254.94/140.78
  6. Step 6: Final answer
    x = 158.09

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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.