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Finding the Fourth Proportional to 201.28, 277.82 and 123.72

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Solution

The fourth proportional to 201.28, 277.82 and 123.72 is: 170.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.28 : 277.82 = 123.72 : x
  2. Step 2: Convert to fraction form
    201.28/277.82 = 123.72/x
  3. Step 3: Cross multiply
    201.28x = 277.82 × 123.72
  4. Step 4: Simplify right side
    201.28x = 34,371.89
  5. Step 5: Solve for x
    x = 34,371.89/201.28
  6. Step 6: Final answer
    x = 170.77

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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.