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Finding the Fourth Proportional to 331.99, 456.95 and 233.57

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Solution

The fourth proportional to 331.99, 456.95 and 233.57 is: 321.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.99 : 456.95 = 233.57 : x
  2. Step 2: Convert to fraction form
    331.99/456.95 = 233.57/x
  3. Step 3: Cross multiply
    331.99x = 456.95 × 233.57
  4. Step 4: Simplify right side
    331.99x = 106,731.54
  5. Step 5: Solve for x
    x = 106,731.54/331.99
  6. Step 6: Final answer
    x = 321.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.