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Finding the Fourth Proportional to 365.25, 548.06 and 159.78

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Solution

The fourth proportional to 365.25, 548.06 and 159.78 is: 239.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.25 : 548.06 = 159.78 : x
  2. Step 2: Convert to fraction form
    365.25/548.06 = 159.78/x
  3. Step 3: Cross multiply
    365.25x = 548.06 × 159.78
  4. Step 4: Simplify right side
    365.25x = 87,568.23
  5. Step 5: Solve for x
    x = 87,568.23/365.25
  6. Step 6: Final answer
    x = 239.75

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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.