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Finding the Fourth Proportional to 326.25, 450.32 and 222.75

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Solution

The fourth proportional to 326.25, 450.32 and 222.75 is: 307.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.25 : 450.32 = 222.75 : x
  2. Step 2: Convert to fraction form
    326.25/450.32 = 222.75/x
  3. Step 3: Cross multiply
    326.25x = 450.32 × 222.75
  4. Step 4: Simplify right side
    326.25x = 100,307.67
  5. Step 5: Solve for x
    x = 100,307.67/326.25
  6. Step 6: Final answer
    x = 307.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.