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Finding the Fourth Proportional to 326.10, 487.94 and 322.46

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Solution

The fourth proportional to 326.10, 487.94 and 322.46 is: 482.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.10 : 487.94 = 322.46 : x
  2. Step 2: Convert to fraction form
    326.10/487.94 = 322.46/x
  3. Step 3: Cross multiply
    326.10x = 487.94 × 322.46
  4. Step 4: Simplify right side
    326.10x = 157,337.08
  5. Step 5: Solve for x
    x = 157,337.08/326.10
  6. Step 6: Final answer
    x = 482.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.