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Finding the Fourth Proportional to 331.65, 457.75 and 243.26

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Solution

The fourth proportional to 331.65, 457.75 and 243.26 is: 335.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.65 : 457.75 = 243.26 : x
  2. Step 2: Convert to fraction form
    331.65/457.75 = 243.26/x
  3. Step 3: Cross multiply
    331.65x = 457.75 × 243.26
  4. Step 4: Simplify right side
    331.65x = 111,352.00
  5. Step 5: Solve for x
    x = 111,352.00/331.65
  6. Step 6: Final answer
    x = 335.75

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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.