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Finding the Fourth Proportional to 325.68, 490.56 and 275.46

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Solution

The fourth proportional to 325.68, 490.56 and 275.46 is: 414.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.68 : 490.56 = 275.46 : x
  2. Step 2: Convert to fraction form
    325.68/490.56 = 275.46/x
  3. Step 3: Cross multiply
    325.68x = 490.56 × 275.46
  4. Step 4: Simplify right side
    325.68x = 135,129.66
  5. Step 5: Solve for x
    x = 135,129.66/325.68
  6. Step 6: Final answer
    x = 414.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.