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Finding the Fourth Proportional to 201.62, 278.12 and 122.90

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Solution

The fourth proportional to 201.62, 278.12 and 122.90 is: 169.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.62 : 278.12 = 122.90 : x
  2. Step 2: Convert to fraction form
    201.62/278.12 = 122.90/x
  3. Step 3: Cross multiply
    201.62x = 278.12 × 122.90
  4. Step 4: Simplify right side
    201.62x = 34,181.34
  5. Step 5: Solve for x
    x = 34,181.34/201.62
  6. Step 6: Final answer
    x = 169.53

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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.