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Finding the Fourth Proportional to 133.06, 200.47 and 110.68

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Solution

The fourth proportional to 133.06, 200.47 and 110.68 is: 166.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.06 : 200.47 = 110.68 : x
  2. Step 2: Convert to fraction form
    133.06/200.47 = 110.68/x
  3. Step 3: Cross multiply
    133.06x = 200.47 × 110.68
  4. Step 4: Simplify right side
    133.06x = 22,188.02
  5. Step 5: Solve for x
    x = 22,188.02/133.06
  6. Step 6: Final answer
    x = 166.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.