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Finding the Fourth Proportional to 201.38, 278.03 and 130.61

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Solution

The fourth proportional to 201.38, 278.03 and 130.61 is: 180.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.38 : 278.03 = 130.61 : x
  2. Step 2: Convert to fraction form
    201.38/278.03 = 130.61/x
  3. Step 3: Cross multiply
    201.38x = 278.03 × 130.61
  4. Step 4: Simplify right side
    201.38x = 36,313.50
  5. Step 5: Solve for x
    x = 36,313.50/201.38
  6. Step 6: Final answer
    x = 180.32

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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.