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Finding the Fourth Proportional to 140.52, 194.16 and 135.59

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Solution

The fourth proportional to 140.52, 194.16 and 135.59 is: 187.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.52 : 194.16 = 135.59 : x
  2. Step 2: Convert to fraction form
    140.52/194.16 = 135.59/x
  3. Step 3: Cross multiply
    140.52x = 194.16 × 135.59
  4. Step 4: Simplify right side
    140.52x = 26,325.48
  5. Step 5: Solve for x
    x = 26,325.48/140.52
  6. Step 6: Final answer
    x = 187.34

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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.