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Finding the Fourth Proportional to 297.42, 446.13 and 105.05

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Solution

The fourth proportional to 297.42, 446.13 and 105.05 is: 157.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.42 : 446.13 = 105.05 : x
  2. Step 2: Convert to fraction form
    297.42/446.13 = 105.05/x
  3. Step 3: Cross multiply
    297.42x = 446.13 × 105.05
  4. Step 4: Simplify right side
    297.42x = 46,863.73
  5. Step 5: Solve for x
    x = 46,863.73/297.42
  6. Step 6: Final answer
    x = 157.57

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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.