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Finding the Fourth Proportional to 325.56, 449.31 and 215.07

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Solution

The fourth proportional to 325.56, 449.31 and 215.07 is: 296.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.56 : 449.31 = 215.07 : x
  2. Step 2: Convert to fraction form
    325.56/449.31 = 215.07/x
  3. Step 3: Cross multiply
    325.56x = 449.31 × 215.07
  4. Step 4: Simplify right side
    325.56x = 96,633.10
  5. Step 5: Solve for x
    x = 96,633.10/325.56
  6. Step 6: Final answer
    x = 296.82

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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.