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Finding the Fourth Proportional to 234.21, 325.32 and 230.49

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Solution

The fourth proportional to 234.21, 325.32 and 230.49 is: 320.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.21 : 325.32 = 230.49 : x
  2. Step 2: Convert to fraction form
    234.21/325.32 = 230.49/x
  3. Step 3: Cross multiply
    234.21x = 325.32 × 230.49
  4. Step 4: Simplify right side
    234.21x = 74,981.38
  5. Step 5: Solve for x
    x = 74,981.38/234.21
  6. Step 6: Final answer
    x = 320.15

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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.