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Finding the Fourth Proportional to 398.88, 550.80 and 300.96

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Solution

The fourth proportional to 398.88, 550.80 and 300.96 is: 415.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.88 : 550.80 = 300.96 : x
  2. Step 2: Convert to fraction form
    398.88/550.80 = 300.96/x
  3. Step 3: Cross multiply
    398.88x = 550.80 × 300.96
  4. Step 4: Simplify right side
    398.88x = 165,768.77
  5. Step 5: Solve for x
    x = 165,768.77/398.88
  6. Step 6: Final answer
    x = 415.59

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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.