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Finding the Fourth Proportional to 534.16, 736.96 and 324.40

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Solution

The fourth proportional to 534.16, 736.96 and 324.40 is: 447.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.16 : 736.96 = 324.40 : x
  2. Step 2: Convert to fraction form
    534.16/736.96 = 324.40/x
  3. Step 3: Cross multiply
    534.16x = 736.96 × 324.40
  4. Step 4: Simplify right side
    534.16x = 239,069.82
  5. Step 5: Solve for x
    x = 239,069.82/534.16
  6. Step 6: Final answer
    x = 447.56

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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.