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Finding the Fourth Proportional to 201.52, 278.04 and 149.14

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Solution

The fourth proportional to 201.52, 278.04 and 149.14 is: 205.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.52 : 278.04 = 149.14 : x
  2. Step 2: Convert to fraction form
    201.52/278.04 = 149.14/x
  3. Step 3: Cross multiply
    201.52x = 278.04 × 149.14
  4. Step 4: Simplify right side
    201.52x = 41,466.89
  5. Step 5: Solve for x
    x = 41,466.89/201.52
  6. Step 6: Final answer
    x = 205.77

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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.