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Finding the Fourth Proportional to 183.88, 275.66 and 110.78

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Solution

The fourth proportional to 183.88, 275.66 and 110.78 is: 166.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.88 : 275.66 = 110.78 : x
  2. Step 2: Convert to fraction form
    183.88/275.66 = 110.78/x
  3. Step 3: Cross multiply
    183.88x = 275.66 × 110.78
  4. Step 4: Simplify right side
    183.88x = 30,537.34
  5. Step 5: Solve for x
    x = 30,537.34/183.88
  6. Step 6: Final answer
    x = 166.07

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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.