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Finding the Fourth Proportional to 398.85, 550.25 and 288.08

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Solution

The fourth proportional to 398.85, 550.25 and 288.08 is: 397.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.85 : 550.25 = 288.08 : x
  2. Step 2: Convert to fraction form
    398.85/550.25 = 288.08/x
  3. Step 3: Cross multiply
    398.85x = 550.25 × 288.08
  4. Step 4: Simplify right side
    398.85x = 158,515.96
  5. Step 5: Solve for x
    x = 158,515.96/398.85
  6. Step 6: Final answer
    x = 397.43

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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.