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Finding the Fourth Proportional to 201.62, 278.24 and 111.89

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Solution

The fourth proportional to 201.62, 278.24 and 111.89 is: 154.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.62 : 278.24 = 111.89 : x
  2. Step 2: Convert to fraction form
    201.62/278.24 = 111.89/x
  3. Step 3: Cross multiply
    201.62x = 278.24 × 111.89
  4. Step 4: Simplify right side
    201.62x = 31,132.83
  5. Step 5: Solve for x
    x = 31,132.83/201.62
  6. Step 6: Final answer
    x = 154.41

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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.