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Finding the Fourth Proportional to 278.02, 415.82 and 194.39

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Solution

The fourth proportional to 278.02, 415.82 and 194.39 is: 290.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.02 : 415.82 = 194.39 : x
  2. Step 2: Convert to fraction form
    278.02/415.82 = 194.39/x
  3. Step 3: Cross multiply
    278.02x = 415.82 × 194.39
  4. Step 4: Simplify right side
    278.02x = 80,830.28
  5. Step 5: Solve for x
    x = 80,830.28/278.02
  6. Step 6: Final answer
    x = 290.74

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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.