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Finding the Fourth Proportional to 297.78, 446.55 and 206.20

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Solution

The fourth proportional to 297.78, 446.55 and 206.20 is: 309.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.78 : 446.55 = 206.20 : x
  2. Step 2: Convert to fraction form
    297.78/446.55 = 206.20/x
  3. Step 3: Cross multiply
    297.78x = 446.55 × 206.20
  4. Step 4: Simplify right side
    297.78x = 92,078.61
  5. Step 5: Solve for x
    x = 92,078.61/297.78
  6. Step 6: Final answer
    x = 309.22

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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.