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Finding the Fourth Proportional to 326.99, 451.31 and 216.47

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Solution

The fourth proportional to 326.99, 451.31 and 216.47 is: 298.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.99 : 451.31 = 216.47 : x
  2. Step 2: Convert to fraction form
    326.99/451.31 = 216.47/x
  3. Step 3: Cross multiply
    326.99x = 451.31 × 216.47
  4. Step 4: Simplify right side
    326.99x = 97,695.08
  5. Step 5: Solve for x
    x = 97,695.08/326.99
  6. Step 6: Final answer
    x = 298.77

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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.