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Finding the Fourth Proportional to 219.13, 329.08 and 201.74

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Solution

The fourth proportional to 219.13, 329.08 and 201.74 is: 302.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.13 : 329.08 = 201.74 : x
  2. Step 2: Convert to fraction form
    219.13/329.08 = 201.74/x
  3. Step 3: Cross multiply
    219.13x = 329.08 × 201.74
  4. Step 4: Simplify right side
    219.13x = 66,388.92
  5. Step 5: Solve for x
    x = 66,388.92/219.13
  6. Step 6: Final answer
    x = 302.97

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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.