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Finding the Fourth Proportional to 234.84, 324 and 222.30

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Solution

The fourth proportional to 234.84, 324 and 222.30 is: 306.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.84 : 324 = 222.30 : x
  2. Step 2: Convert to fraction form
    234.84/324 = 222.30/x
  3. Step 3: Cross multiply
    234.84x = 324 × 222.30
  4. Step 4: Simplify right side
    234.84x = 72,025.20
  5. Step 5: Solve for x
    x = 72,025.20/234.84
  6. Step 6: Final answer
    x = 306.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.