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Finding the Fourth Proportional to 325.42, 447.31 and 291.94

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Solution

The fourth proportional to 325.42, 447.31 and 291.94 is: 401.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.42 : 447.31 = 291.94 : x
  2. Step 2: Convert to fraction form
    325.42/447.31 = 291.94/x
  3. Step 3: Cross multiply
    325.42x = 447.31 × 291.94
  4. Step 4: Simplify right side
    325.42x = 130,587.68
  5. Step 5: Solve for x
    x = 130,587.68/325.42
  6. Step 6: Final answer
    x = 401.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.