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Finding the Fourth Proportional to 201.57, 278.22 and 168.77

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Solution

The fourth proportional to 201.57, 278.22 and 168.77 is: 232.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.57 : 278.22 = 168.77 : x
  2. Step 2: Convert to fraction form
    201.57/278.22 = 168.77/x
  3. Step 3: Cross multiply
    201.57x = 278.22 × 168.77
  4. Step 4: Simplify right side
    201.57x = 46,955.19
  5. Step 5: Solve for x
    x = 46,955.19/201.57
  6. Step 6: Final answer
    x = 232.95

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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.