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Finding the Fourth Proportional to 201.36, 278.10 and 144.66

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Solution

The fourth proportional to 201.36, 278.10 and 144.66 is: 199.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.36 : 278.10 = 144.66 : x
  2. Step 2: Convert to fraction form
    201.36/278.10 = 144.66/x
  3. Step 3: Cross multiply
    201.36x = 278.10 × 144.66
  4. Step 4: Simplify right side
    201.36x = 40,229.95
  5. Step 5: Solve for x
    x = 40,229.95/201.36
  6. Step 6: Final answer
    x = 199.79

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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.