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Finding the Fourth Proportional to 278.01, 418.48 and 197.41

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Solution

The fourth proportional to 278.01, 418.48 and 197.41 is: 297.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.01 : 418.48 = 197.41 : x
  2. Step 2: Convert to fraction form
    278.01/418.48 = 197.41/x
  3. Step 3: Cross multiply
    278.01x = 418.48 × 197.41
  4. Step 4: Simplify right side
    278.01x = 82,612.14
  5. Step 5: Solve for x
    x = 82,612.14/278.01
  6. Step 6: Final answer
    x = 297.16

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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.