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Finding the Fourth Proportional to 326.73, 450.77 and 233.69

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Solution

The fourth proportional to 326.73, 450.77 and 233.69 is: 322.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.73 : 450.77 = 233.69 : x
  2. Step 2: Convert to fraction form
    326.73/450.77 = 233.69/x
  3. Step 3: Cross multiply
    326.73x = 450.77 × 233.69
  4. Step 4: Simplify right side
    326.73x = 105,337.02
  5. Step 5: Solve for x
    x = 105,337.02/326.73
  6. Step 6: Final answer
    x = 322.39

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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.