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Finding the Fourth Proportional to 287.88, 397.19 and 163.53

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Solution

The fourth proportional to 287.88, 397.19 and 163.53 is: 225.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.88 : 397.19 = 163.53 : x
  2. Step 2: Convert to fraction form
    287.88/397.19 = 163.53/x
  3. Step 3: Cross multiply
    287.88x = 397.19 × 163.53
  4. Step 4: Simplify right side
    287.88x = 64,951.66
  5. Step 5: Solve for x
    x = 64,951.66/287.88
  6. Step 6: Final answer
    x = 225.62

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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.