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Finding the Fourth Proportional to 326.00, 487.46 and 275.25

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Solution

The fourth proportional to 326.00, 487.46 and 275.25 is: 411.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.00 : 487.46 = 275.25 : x
  2. Step 2: Convert to fraction form
    326.00/487.46 = 275.25/x
  3. Step 3: Cross multiply
    326.00x = 487.46 × 275.25
  4. Step 4: Simplify right side
    326.00x = 134,176.03
  5. Step 5: Solve for x
    x = 134,176.03/326.00
  6. Step 6: Final answer
    x = 411.58

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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.