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Finding the Fourth Proportional to 234.72, 350.40 and 200.28

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Solution

The fourth proportional to 234.72, 350.40 and 200.28 is: 298.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.72 : 350.40 = 200.28 : x
  2. Step 2: Convert to fraction form
    234.72/350.40 = 200.28/x
  3. Step 3: Cross multiply
    234.72x = 350.40 × 200.28
  4. Step 4: Simplify right side
    234.72x = 70,178.11
  5. Step 5: Solve for x
    x = 70,178.11/234.72
  6. Step 6: Final answer
    x = 298.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.