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Finding the Fourth Proportional to 219.37, 329.39 and 185.39

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Solution

The fourth proportional to 219.37, 329.39 and 185.39 is: 278.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.37 : 329.39 = 185.39 : x
  2. Step 2: Convert to fraction form
    219.37/329.39 = 185.39/x
  3. Step 3: Cross multiply
    219.37x = 329.39 × 185.39
  4. Step 4: Simplify right side
    219.37x = 61,065.61
  5. Step 5: Solve for x
    x = 61,065.61/219.37
  6. Step 6: Final answer
    x = 278.37

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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.