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Finding the Fourth Proportional to 297.78, 410.66 and 199.66

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Solution

The fourth proportional to 297.78, 410.66 and 199.66 is: 275.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.78 : 410.66 = 199.66 : x
  2. Step 2: Convert to fraction form
    297.78/410.66 = 199.66/x
  3. Step 3: Cross multiply
    297.78x = 410.66 × 199.66
  4. Step 4: Simplify right side
    297.78x = 81,992.38
  5. Step 5: Solve for x
    x = 81,992.38/297.78
  6. Step 6: Final answer
    x = 275.35

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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.