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Finding the Fourth Proportional to 234.05, 320.72 and 225.55

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Solution

The fourth proportional to 234.05, 320.72 and 225.55 is: 309.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.05 : 320.72 = 225.55 : x
  2. Step 2: Convert to fraction form
    234.05/320.72 = 225.55/x
  3. Step 3: Cross multiply
    234.05x = 320.72 × 225.55
  4. Step 4: Simplify right side
    234.05x = 72,338.40
  5. Step 5: Solve for x
    x = 72,338.40/234.05
  6. Step 6: Final answer
    x = 309.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.