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Finding the Fourth Proportional to 135.22, 201.80 and 112

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Solution

The fourth proportional to 135.22, 201.80 and 112 is: 167.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.22 : 201.80 = 112 : x
  2. Step 2: Convert to fraction form
    135.22/201.80 = 112/x
  3. Step 3: Cross multiply
    135.22x = 201.80 × 112
  4. Step 4: Simplify right side
    135.22x = 22,601.60
  5. Step 5: Solve for x
    x = 22,601.60/135.22
  6. Step 6: Final answer
    x = 167.15

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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.