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Finding the Fourth Proportional to 297.72, 446.78 and 105.35

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Solution

The fourth proportional to 297.72, 446.78 and 105.35 is: 158.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.72 : 446.78 = 105.35 : x
  2. Step 2: Convert to fraction form
    297.72/446.78 = 105.35/x
  3. Step 3: Cross multiply
    297.72x = 446.78 × 105.35
  4. Step 4: Simplify right side
    297.72x = 47,066.04
  5. Step 5: Solve for x
    x = 47,066.04/297.72
  6. Step 6: Final answer
    x = 158.09

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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.