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Finding the Fourth Proportional to 326.44, 488.22 and 275.56

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Solution

The fourth proportional to 326.44, 488.22 and 275.56 is: 412.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.44 : 488.22 = 275.56 : x
  2. Step 2: Convert to fraction form
    326.44/488.22 = 275.56/x
  3. Step 3: Cross multiply
    326.44x = 488.22 × 275.56
  4. Step 4: Simplify right side
    326.44x = 134,533.90
  5. Step 5: Solve for x
    x = 134,533.90/326.44
  6. Step 6: Final answer
    x = 412.12

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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.