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Finding the Fourth Proportional to 185.02, 254.12 and 163.15

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Solution

The fourth proportional to 185.02, 254.12 and 163.15 is: 224.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.02 : 254.12 = 163.15 : x
  2. Step 2: Convert to fraction form
    185.02/254.12 = 163.15/x
  3. Step 3: Cross multiply
    185.02x = 254.12 × 163.15
  4. Step 4: Simplify right side
    185.02x = 41,459.68
  5. Step 5: Solve for x
    x = 41,459.68/185.02
  6. Step 6: Final answer
    x = 224.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.