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Finding the Fourth Proportional to 402.88, 559.63 and 391.36

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Solution

The fourth proportional to 402.88, 559.63 and 391.36 is: 543.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.88 : 559.63 = 391.36 : x
  2. Step 2: Convert to fraction form
    402.88/559.63 = 391.36/x
  3. Step 3: Cross multiply
    402.88x = 559.63 × 391.36
  4. Step 4: Simplify right side
    402.88x = 219,016.80
  5. Step 5: Solve for x
    x = 219,016.80/402.88
  6. Step 6: Final answer
    x = 543.63

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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.