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Finding the Fourth Proportional to 398.79, 550.26 and 228.43

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Solution

The fourth proportional to 398.79, 550.26 and 228.43 is: 315.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.79 : 550.26 = 228.43 : x
  2. Step 2: Convert to fraction form
    398.79/550.26 = 228.43/x
  3. Step 3: Cross multiply
    398.79x = 550.26 × 228.43
  4. Step 4: Simplify right side
    398.79x = 125,696.46
  5. Step 5: Solve for x
    x = 125,696.46/398.79
  6. Step 6: Final answer
    x = 315.20

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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.