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Finding the Fourth Proportional to 408.01, 562.58 and 325.12

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Solution

The fourth proportional to 408.01, 562.58 and 325.12 is: 448.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.01 : 562.58 = 325.12 : x
  2. Step 2: Convert to fraction form
    408.01/562.58 = 325.12/x
  3. Step 3: Cross multiply
    408.01x = 562.58 × 325.12
  4. Step 4: Simplify right side
    408.01x = 182,903.20
  5. Step 5: Solve for x
    x = 182,903.20/408.01
  6. Step 6: Final answer
    x = 448.29

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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.