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Finding the Fourth Proportional to 365.41, 547.79 and 137.57

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Solution

The fourth proportional to 365.41, 547.79 and 137.57 is: 206.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.41 : 547.79 = 137.57 : x
  2. Step 2: Convert to fraction form
    365.41/547.79 = 137.57/x
  3. Step 3: Cross multiply
    365.41x = 547.79 × 137.57
  4. Step 4: Simplify right side
    365.41x = 75,359.47
  5. Step 5: Solve for x
    x = 75,359.47/365.41
  6. Step 6: Final answer
    x = 206.23

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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.