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Finding the Fourth Proportional to 297.88, 445.66 and 229.64

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Solution

The fourth proportional to 297.88, 445.66 and 229.64 is: 343.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.88 : 445.66 = 229.64 : x
  2. Step 2: Convert to fraction form
    297.88/445.66 = 229.64/x
  3. Step 3: Cross multiply
    297.88x = 445.66 × 229.64
  4. Step 4: Simplify right side
    297.88x = 102,341.36
  5. Step 5: Solve for x
    x = 102,341.36/297.88
  6. Step 6: Final answer
    x = 343.57

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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.