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Finding the Fourth Proportional to 102.82, 154.25 and 34.36

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Solution

The fourth proportional to 102.82, 154.25 and 34.36 is: 51.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.82 : 154.25 = 34.36 : x
  2. Step 2: Convert to fraction form
    102.82/154.25 = 34.36/x
  3. Step 3: Cross multiply
    102.82x = 154.25 × 34.36
  4. Step 4: Simplify right side
    102.82x = 5,299.79
  5. Step 5: Solve for x
    x = 5,299.79/102.82
  6. Step 6: Final answer
    x = 51.54

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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.