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Finding the Fourth Proportional to 278.02, 418.51 and 197.44

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Solution

The fourth proportional to 278.02, 418.51 and 197.44 is: 297.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.02 : 418.51 = 197.44 : x
  2. Step 2: Convert to fraction form
    278.02/418.51 = 197.44/x
  3. Step 3: Cross multiply
    278.02x = 418.51 × 197.44
  4. Step 4: Simplify right side
    278.02x = 82,630.61
  5. Step 5: Solve for x
    x = 82,630.61/278.02
  6. Step 6: Final answer
    x = 297.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.