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Finding the Fourth Proportional to 199.41, 275.17 and 110.89

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Solution

The fourth proportional to 199.41, 275.17 and 110.89 is: 153.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.41 : 275.17 = 110.89 : x
  2. Step 2: Convert to fraction form
    199.41/275.17 = 110.89/x
  3. Step 3: Cross multiply
    199.41x = 275.17 × 110.89
  4. Step 4: Simplify right side
    199.41x = 30,512.02
  5. Step 5: Solve for x
    x = 30,512.02/199.41
  6. Step 6: Final answer
    x = 153.01

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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.