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Finding the Fourth Proportional to 474.10, 654.42 and 327.22

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Solution

The fourth proportional to 474.10, 654.42 and 327.22 is: 451.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.10 : 654.42 = 327.22 : x
  2. Step 2: Convert to fraction form
    474.10/654.42 = 327.22/x
  3. Step 3: Cross multiply
    474.10x = 654.42 × 327.22
  4. Step 4: Simplify right side
    474.10x = 214,139.31
  5. Step 5: Solve for x
    x = 214,139.31/474.10
  6. Step 6: Final answer
    x = 451.68

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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.