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Finding the Fourth Proportional to 398.87, 550.52 and 251.70

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Solution

The fourth proportional to 398.87, 550.52 and 251.70 is: 347.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.87 : 550.52 = 251.70 : x
  2. Step 2: Convert to fraction form
    398.87/550.52 = 251.70/x
  3. Step 3: Cross multiply
    398.87x = 550.52 × 251.70
  4. Step 4: Simplify right side
    398.87x = 138,566.51
  5. Step 5: Solve for x
    x = 138,566.51/398.87
  6. Step 6: Final answer
    x = 347.40

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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.