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Finding the Fourth Proportional to 424.31, 584.31 and 293.09

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Solution

The fourth proportional to 424.31, 584.31 and 293.09 is: 403.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.31 : 584.31 = 293.09 : x
  2. Step 2: Convert to fraction form
    424.31/584.31 = 293.09/x
  3. Step 3: Cross multiply
    424.31x = 584.31 × 293.09
  4. Step 4: Simplify right side
    424.31x = 171,253.60
  5. Step 5: Solve for x
    x = 171,253.60/424.31
  6. Step 6: Final answer
    x = 403.61

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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.