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Finding the Fourth Proportional to 201.86, 278.16 and 158.12

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Solution

The fourth proportional to 201.86, 278.16 and 158.12 is: 217.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.86 : 278.16 = 158.12 : x
  2. Step 2: Convert to fraction form
    201.86/278.16 = 158.12/x
  3. Step 3: Cross multiply
    201.86x = 278.16 × 158.12
  4. Step 4: Simplify right side
    201.86x = 43,982.66
  5. Step 5: Solve for x
    x = 43,982.66/201.86
  6. Step 6: Final answer
    x = 217.89

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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.