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Finding the Fourth Proportional to 201.62, 278.19 and 114.28

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Solution

The fourth proportional to 201.62, 278.19 and 114.28 is: 157.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.62 : 278.19 = 114.28 : x
  2. Step 2: Convert to fraction form
    201.62/278.19 = 114.28/x
  3. Step 3: Cross multiply
    201.62x = 278.19 × 114.28
  4. Step 4: Simplify right side
    201.62x = 31,790.86
  5. Step 5: Solve for x
    x = 31,790.86/201.62
  6. Step 6: Final answer
    x = 157.68

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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.