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Finding the Fourth Proportional to 326.39, 491.54 and 297.23

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Solution

The fourth proportional to 326.39, 491.54 and 297.23 is: 447.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.39 : 491.54 = 297.23 : x
  2. Step 2: Convert to fraction form
    326.39/491.54 = 297.23/x
  3. Step 3: Cross multiply
    326.39x = 491.54 × 297.23
  4. Step 4: Simplify right side
    326.39x = 146,100.93
  5. Step 5: Solve for x
    x = 146,100.93/326.39
  6. Step 6: Final answer
    x = 447.63

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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.