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Finding the Fourth Proportional to 219.22, 330.00 and 168.49

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Solution

The fourth proportional to 219.22, 330.00 and 168.49 is: 253.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.22 : 330.00 = 168.49 : x
  2. Step 2: Convert to fraction form
    219.22/330.00 = 168.49/x
  3. Step 3: Cross multiply
    219.22x = 330.00 × 168.49
  4. Step 4: Simplify right side
    219.22x = 55,601.48
  5. Step 5: Solve for x
    x = 55,601.48/219.22
  6. Step 6: Final answer
    x = 253.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.