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Finding the Fourth Proportional to 287.12, 396.25 and 161.10

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Solution

The fourth proportional to 287.12, 396.25 and 161.10 is: 222.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.12 : 396.25 = 161.10 : x
  2. Step 2: Convert to fraction form
    287.12/396.25 = 161.10/x
  3. Step 3: Cross multiply
    287.12x = 396.25 × 161.10
  4. Step 4: Simplify right side
    287.12x = 63,835.88
  5. Step 5: Solve for x
    x = 63,835.88/287.12
  6. Step 6: Final answer
    x = 222.33

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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.