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Finding the Fourth Proportional to 219.58, 327.24 and 219.24

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Solution

The fourth proportional to 219.58, 327.24 and 219.24 is: 326.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.58 : 327.24 = 219.24 : x
  2. Step 2: Convert to fraction form
    219.58/327.24 = 219.24/x
  3. Step 3: Cross multiply
    219.58x = 327.24 × 219.24
  4. Step 4: Simplify right side
    219.58x = 71,744.10
  5. Step 5: Solve for x
    x = 71,744.10/219.58
  6. Step 6: Final answer
    x = 326.74

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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.