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Finding the Fourth Proportional to 297.15, 447.45 and 220.66

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Solution

The fourth proportional to 297.15, 447.45 and 220.66 is: 332.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.15 : 447.45 = 220.66 : x
  2. Step 2: Convert to fraction form
    297.15/447.45 = 220.66/x
  3. Step 3: Cross multiply
    297.15x = 447.45 × 220.66
  4. Step 4: Simplify right side
    297.15x = 98,732.37
  5. Step 5: Solve for x
    x = 98,732.37/297.15
  6. Step 6: Final answer
    x = 332.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.