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Finding the Fourth Proportional to 402.48, 559.22 and 398.20

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Solution

The fourth proportional to 402.48, 559.22 and 398.20 is: 553.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.48 : 559.22 = 398.20 : x
  2. Step 2: Convert to fraction form
    402.48/559.22 = 398.20/x
  3. Step 3: Cross multiply
    402.48x = 559.22 × 398.20
  4. Step 4: Simplify right side
    402.48x = 222,681.40
  5. Step 5: Solve for x
    x = 222,681.40/402.48
  6. Step 6: Final answer
    x = 553.27

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.