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Finding the Fourth Proportional to 238.34, 330.53 and 230.85

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Solution

The fourth proportional to 238.34, 330.53 and 230.85 is: 320.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.34 : 330.53 = 230.85 : x
  2. Step 2: Convert to fraction form
    238.34/330.53 = 230.85/x
  3. Step 3: Cross multiply
    238.34x = 330.53 × 230.85
  4. Step 4: Simplify right side
    238.34x = 76,302.99
  5. Step 5: Solve for x
    x = 76,302.99/238.34
  6. Step 6: Final answer
    x = 320.14

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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.