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Finding the Fourth Proportional to 134.56, 201.77 and 52.27

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Solution

The fourth proportional to 134.56, 201.77 and 52.27 is: 78.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.56 : 201.77 = 52.27 : x
  2. Step 2: Convert to fraction form
    134.56/201.77 = 52.27/x
  3. Step 3: Cross multiply
    134.56x = 201.77 × 52.27
  4. Step 4: Simplify right side
    134.56x = 10,545.75
  5. Step 5: Solve for x
    x = 10,545.75/134.56
  6. Step 6: Final answer
    x = 78.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.