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Finding the Fourth Proportional to 183.98, 275.84 and 111.90

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Solution

The fourth proportional to 183.98, 275.84 and 111.90 is: 167.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.98 : 275.84 = 111.90 : x
  2. Step 2: Convert to fraction form
    183.98/275.84 = 111.90/x
  3. Step 3: Cross multiply
    183.98x = 275.84 × 111.90
  4. Step 4: Simplify right side
    183.98x = 30,866.50
  5. Step 5: Solve for x
    x = 30,866.50/183.98
  6. Step 6: Final answer
    x = 167.77

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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.