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Finding the Fourth Proportional to 199.42, 275.20 and 110.90

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Solution

The fourth proportional to 199.42, 275.20 and 110.90 is: 153.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.42 : 275.20 = 110.90 : x
  2. Step 2: Convert to fraction form
    199.42/275.20 = 110.90/x
  3. Step 3: Cross multiply
    199.42x = 275.20 × 110.90
  4. Step 4: Simplify right side
    199.42x = 30,518.85
  5. Step 5: Solve for x
    x = 30,518.85/199.42
  6. Step 6: Final answer
    x = 153.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.