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Finding the Fourth Proportional to 331.19, 456.78 and 220.47

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Solution

The fourth proportional to 331.19, 456.78 and 220.47 is: 304.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.19 : 456.78 = 220.47 : x
  2. Step 2: Convert to fraction form
    331.19/456.78 = 220.47/x
  3. Step 3: Cross multiply
    331.19x = 456.78 × 220.47
  4. Step 4: Simplify right side
    331.19x = 100,706.29
  5. Step 5: Solve for x
    x = 100,706.29/331.19
  6. Step 6: Final answer
    x = 304.08

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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.