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Finding the Fourth Proportional to 365.67, 548.60 and 109.17

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Solution

The fourth proportional to 365.67, 548.60 and 109.17 is: 163.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.67 : 548.60 = 109.17 : x
  2. Step 2: Convert to fraction form
    365.67/548.60 = 109.17/x
  3. Step 3: Cross multiply
    365.67x = 548.60 × 109.17
  4. Step 4: Simplify right side
    365.67x = 59,890.12
  5. Step 5: Solve for x
    x = 59,890.12/365.67
  6. Step 6: Final answer
    x = 163.78

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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.