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Finding the Fourth Proportional to 424.36, 584.22 and 331

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Solution

The fourth proportional to 424.36, 584.22 and 331 is: 455.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.36 : 584.22 = 331 : x
  2. Step 2: Convert to fraction form
    424.36/584.22 = 331/x
  3. Step 3: Cross multiply
    424.36x = 584.22 × 331
  4. Step 4: Simplify right side
    424.36x = 193,376.82
  5. Step 5: Solve for x
    x = 193,376.82/424.36
  6. Step 6: Final answer
    x = 455.69

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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.