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Finding the Fourth Proportional to 323.21, 446.56 and 287.93

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Solution

The fourth proportional to 323.21, 446.56 and 287.93 is: 397.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.21 : 446.56 = 287.93 : x
  2. Step 2: Convert to fraction form
    323.21/446.56 = 287.93/x
  3. Step 3: Cross multiply
    323.21x = 446.56 × 287.93
  4. Step 4: Simplify right side
    323.21x = 128,578.02
  5. Step 5: Solve for x
    x = 128,578.02/323.21
  6. Step 6: Final answer
    x = 397.82

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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.