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Finding the Fourth Proportional to 331.47, 495.99 and 213.93

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Solution

The fourth proportional to 331.47, 495.99 and 213.93 is: 320.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.47 : 495.99 = 213.93 : x
  2. Step 2: Convert to fraction form
    331.47/495.99 = 213.93/x
  3. Step 3: Cross multiply
    331.47x = 495.99 × 213.93
  4. Step 4: Simplify right side
    331.47x = 106,107.14
  5. Step 5: Solve for x
    x = 106,107.14/331.47
  6. Step 6: Final answer
    x = 320.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.