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Finding the Fourth Proportional to 326.28, 491.82 and 303.95

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Solution

The fourth proportional to 326.28, 491.82 and 303.95 is: 458.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.28 : 491.82 = 303.95 : x
  2. Step 2: Convert to fraction form
    326.28/491.82 = 303.95/x
  3. Step 3: Cross multiply
    326.28x = 491.82 × 303.95
  4. Step 4: Simplify right side
    326.28x = 149,490.49
  5. Step 5: Solve for x
    x = 149,490.49/326.28
  6. Step 6: Final answer
    x = 458.17

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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.