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Finding the Fourth Proportional to 534.28, 736.66 and 327.24

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Solution

The fourth proportional to 534.28, 736.66 and 327.24 is: 451.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.28 : 736.66 = 327.24 : x
  2. Step 2: Convert to fraction form
    534.28/736.66 = 327.24/x
  3. Step 3: Cross multiply
    534.28x = 736.66 × 327.24
  4. Step 4: Simplify right side
    534.28x = 241,064.62
  5. Step 5: Solve for x
    x = 241,064.62/534.28
  6. Step 6: Final answer
    x = 451.20

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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.