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Finding the Fourth Proportional to 326.48, 450.28 and 209.84

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Solution

The fourth proportional to 326.48, 450.28 and 209.84 is: 289.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.48 : 450.28 = 209.84 : x
  2. Step 2: Convert to fraction form
    326.48/450.28 = 209.84/x
  3. Step 3: Cross multiply
    326.48x = 450.28 × 209.84
  4. Step 4: Simplify right side
    326.48x = 94,486.76
  5. Step 5: Solve for x
    x = 94,486.76/326.48
  6. Step 6: Final answer
    x = 289.41

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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.