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Finding the Fourth Proportional to 373.09, 559.73 and 219.15

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Solution

The fourth proportional to 373.09, 559.73 and 219.15 is: 328.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.09 : 559.73 = 219.15 : x
  2. Step 2: Convert to fraction form
    373.09/559.73 = 219.15/x
  3. Step 3: Cross multiply
    373.09x = 559.73 × 219.15
  4. Step 4: Simplify right side
    373.09x = 122,663.73
  5. Step 5: Solve for x
    x = 122,663.73/373.09
  6. Step 6: Final answer
    x = 328.78

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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.