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Finding the Fourth Proportional to 287.57, 396.86 and 163.22

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Solution

The fourth proportional to 287.57, 396.86 and 163.22 is: 225.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.57 : 396.86 = 163.22 : x
  2. Step 2: Convert to fraction form
    287.57/396.86 = 163.22/x
  3. Step 3: Cross multiply
    287.57x = 396.86 × 163.22
  4. Step 4: Simplify right side
    287.57x = 64,775.67
  5. Step 5: Solve for x
    x = 64,775.67/287.57
  6. Step 6: Final answer
    x = 225.26

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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.