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Finding the Fourth Proportional to 294.86, 406.92 and 201.80

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Solution

The fourth proportional to 294.86, 406.92 and 201.80 is: 278.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.86 : 406.92 = 201.80 : x
  2. Step 2: Convert to fraction form
    294.86/406.92 = 201.80/x
  3. Step 3: Cross multiply
    294.86x = 406.92 × 201.80
  4. Step 4: Simplify right side
    294.86x = 82,114.42
  5. Step 5: Solve for x
    x = 82,114.42/294.86
  6. Step 6: Final answer
    x = 278.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.