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Finding the Fourth Proportional to 326.96, 451.08 and 210.56

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Solution

The fourth proportional to 326.96, 451.08 and 210.56 is: 290.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.96 : 451.08 = 210.56 : x
  2. Step 2: Convert to fraction form
    326.96/451.08 = 210.56/x
  3. Step 3: Cross multiply
    326.96x = 451.08 × 210.56
  4. Step 4: Simplify right side
    326.96x = 94,979.40
  5. Step 5: Solve for x
    x = 94,979.40/326.96
  6. Step 6: Final answer
    x = 290.49

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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.