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Finding the Fourth Proportional to 232.29, 322.22 and 219.99

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Solution

The fourth proportional to 232.29, 322.22 and 219.99 is: 305.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.29 : 322.22 = 219.99 : x
  2. Step 2: Convert to fraction form
    232.29/322.22 = 219.99/x
  3. Step 3: Cross multiply
    232.29x = 322.22 × 219.99
  4. Step 4: Simplify right side
    232.29x = 70,885.18
  5. Step 5: Solve for x
    x = 70,885.18/232.29
  6. Step 6: Final answer
    x = 305.16

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.