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Finding the Fourth Proportional to 179.06, 267.91 and 133.25

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Solution

The fourth proportional to 179.06, 267.91 and 133.25 is: 199.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.06 : 267.91 = 133.25 : x
  2. Step 2: Convert to fraction form
    179.06/267.91 = 133.25/x
  3. Step 3: Cross multiply
    179.06x = 267.91 × 133.25
  4. Step 4: Simplify right side
    179.06x = 35,697.33
  5. Step 5: Solve for x
    x = 35,697.33/179.06
  6. Step 6: Final answer
    x = 199.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.