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Finding the Fourth Proportional to 331.65, 457.79 and 233.43

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Solution

The fourth proportional to 331.65, 457.79 and 233.43 is: 322.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.65 : 457.79 = 233.43 : x
  2. Step 2: Convert to fraction form
    331.65/457.79 = 233.43/x
  3. Step 3: Cross multiply
    331.65x = 457.79 × 233.43
  4. Step 4: Simplify right side
    331.65x = 106,860.75
  5. Step 5: Solve for x
    x = 106,860.75/331.65
  6. Step 6: Final answer
    x = 322.21

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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.