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Finding the Fourth Proportional to 278.88, 418.34 and 96.22

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Solution

The fourth proportional to 278.88, 418.34 and 96.22 is: 144.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.88 : 418.34 = 96.22 : x
  2. Step 2: Convert to fraction form
    278.88/418.34 = 96.22/x
  3. Step 3: Cross multiply
    278.88x = 418.34 × 96.22
  4. Step 4: Simplify right side
    278.88x = 40,252.19
  5. Step 5: Solve for x
    x = 40,252.19/278.88
  6. Step 6: Final answer
    x = 144.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.