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Finding the Fourth Proportional to 225.56, 336.16 and 217.64

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Solution

The fourth proportional to 225.56, 336.16 and 217.64 is: 324.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.56 : 336.16 = 217.64 : x
  2. Step 2: Convert to fraction form
    225.56/336.16 = 217.64/x
  3. Step 3: Cross multiply
    225.56x = 336.16 × 217.64
  4. Step 4: Simplify right side
    225.56x = 73,161.86
  5. Step 5: Solve for x
    x = 73,161.86/225.56
  6. Step 6: Final answer
    x = 324.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.