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Finding the Fourth Proportional to 234.42, 325.05 and 222.12

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Solution

The fourth proportional to 234.42, 325.05 and 222.12 is: 307.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.42 : 325.05 = 222.12 : x
  2. Step 2: Convert to fraction form
    234.42/325.05 = 222.12/x
  3. Step 3: Cross multiply
    234.42x = 325.05 × 222.12
  4. Step 4: Simplify right side
    234.42x = 72,200.11
  5. Step 5: Solve for x
    x = 72,200.11/234.42
  6. Step 6: Final answer
    x = 307.99

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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.