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Finding the Fourth Proportional to 297.36, 446.09 and 135.05

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Solution

The fourth proportional to 297.36, 446.09 and 135.05 is: 202.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.36 : 446.09 = 135.05 : x
  2. Step 2: Convert to fraction form
    297.36/446.09 = 135.05/x
  3. Step 3: Cross multiply
    297.36x = 446.09 × 135.05
  4. Step 4: Simplify right side
    297.36x = 60,241.55
  5. Step 5: Solve for x
    x = 60,241.55/297.36
  6. Step 6: Final answer
    x = 202.59

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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.