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Finding the Fourth Proportional to 219.14, 328.46 and 137.78

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Solution

The fourth proportional to 219.14, 328.46 and 137.78 is: 206.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.14 : 328.46 = 137.78 : x
  2. Step 2: Convert to fraction form
    219.14/328.46 = 137.78/x
  3. Step 3: Cross multiply
    219.14x = 328.46 × 137.78
  4. Step 4: Simplify right side
    219.14x = 45,255.22
  5. Step 5: Solve for x
    x = 45,255.22/219.14
  6. Step 6: Final answer
    x = 206.51

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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.