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Finding the Fourth Proportional to 219.13, 327.32 and 215.08

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Solution

The fourth proportional to 219.13, 327.32 and 215.08 is: 321.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.13 : 327.32 = 215.08 : x
  2. Step 2: Convert to fraction form
    219.13/327.32 = 215.08/x
  3. Step 3: Cross multiply
    219.13x = 327.32 × 215.08
  4. Step 4: Simplify right side
    219.13x = 70,399.99
  5. Step 5: Solve for x
    x = 70,399.99/219.13
  6. Step 6: Final answer
    x = 321.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.