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Finding the Fourth Proportional to 297.81, 446.04 and 206.55

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Solution

The fourth proportional to 297.81, 446.04 and 206.55 is: 309.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.81 : 446.04 = 206.55 : x
  2. Step 2: Convert to fraction form
    297.81/446.04 = 206.55/x
  3. Step 3: Cross multiply
    297.81x = 446.04 × 206.55
  4. Step 4: Simplify right side
    297.81x = 92,129.56
  5. Step 5: Solve for x
    x = 92,129.56/297.81
  6. Step 6: Final answer
    x = 309.36

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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.