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Finding the Fourth Proportional to 331.76, 495.12 and 323.12

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Solution

The fourth proportional to 331.76, 495.12 and 323.12 is: 482.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.76 : 495.12 = 323.12 : x
  2. Step 2: Convert to fraction form
    331.76/495.12 = 323.12/x
  3. Step 3: Cross multiply
    331.76x = 495.12 × 323.12
  4. Step 4: Simplify right side
    331.76x = 159,981.91
  5. Step 5: Solve for x
    x = 159,981.91/331.76
  6. Step 6: Final answer
    x = 482.23

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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.