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Finding the Fourth Proportional to 322.47, 481.22 and 287.86

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Solution

The fourth proportional to 322.47, 481.22 and 287.86 is: 429.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.47 : 481.22 = 287.86 : x
  2. Step 2: Convert to fraction form
    322.47/481.22 = 287.86/x
  3. Step 3: Cross multiply
    322.47x = 481.22 × 287.86
  4. Step 4: Simplify right side
    322.47x = 138,522.86
  5. Step 5: Solve for x
    x = 138,522.86/322.47
  6. Step 6: Final answer
    x = 429.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.