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Finding the Fourth Proportional to 135.12, 201.75 and 118.92

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Solution

The fourth proportional to 135.12, 201.75 and 118.92 is: 177.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.12 : 201.75 = 118.92 : x
  2. Step 2: Convert to fraction form
    135.12/201.75 = 118.92/x
  3. Step 3: Cross multiply
    135.12x = 201.75 × 118.92
  4. Step 4: Simplify right side
    135.12x = 23,992.11
  5. Step 5: Solve for x
    x = 23,992.11/135.12
  6. Step 6: Final answer
    x = 177.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.