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Finding the Fourth Proportional to 287.80, 397.19 and 163.46

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Solution

The fourth proportional to 287.80, 397.19 and 163.46 is: 225.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.80 : 397.19 = 163.46 : x
  2. Step 2: Convert to fraction form
    287.80/397.19 = 163.46/x
  3. Step 3: Cross multiply
    287.80x = 397.19 × 163.46
  4. Step 4: Simplify right side
    287.80x = 64,926.08
  5. Step 5: Solve for x
    x = 64,926.08/287.80
  6. Step 6: Final answer
    x = 225.60

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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.