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Finding the Fourth Proportional to 534.20, 737.32 and 324.40

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Solution

The fourth proportional to 534.20, 737.32 and 324.40 is: 447.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.20 : 737.32 = 324.40 : x
  2. Step 2: Convert to fraction form
    534.20/737.32 = 324.40/x
  3. Step 3: Cross multiply
    534.20x = 737.32 × 324.40
  4. Step 4: Simplify right side
    534.20x = 239,186.61
  5. Step 5: Solve for x
    x = 239,186.61/534.20
  6. Step 6: Final answer
    x = 447.75

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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.