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Finding the Fourth Proportional to 433.40, 597.96 and 323.24

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Solution

The fourth proportional to 433.40, 597.96 and 323.24 is: 445.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.40 : 597.96 = 323.24 : x
  2. Step 2: Convert to fraction form
    433.40/597.96 = 323.24/x
  3. Step 3: Cross multiply
    433.40x = 597.96 × 323.24
  4. Step 4: Simplify right side
    433.40x = 193,284.59
  5. Step 5: Solve for x
    x = 193,284.59/433.40
  6. Step 6: Final answer
    x = 445.97

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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.