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Finding the Fourth Proportional to 212.42, 292.78 and 163.19

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Solution

The fourth proportional to 212.42, 292.78 and 163.19 is: 224.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.42 : 292.78 = 163.19 : x
  2. Step 2: Convert to fraction form
    212.42/292.78 = 163.19/x
  3. Step 3: Cross multiply
    212.42x = 292.78 × 163.19
  4. Step 4: Simplify right side
    212.42x = 47,778.77
  5. Step 5: Solve for x
    x = 47,778.77/212.42
  6. Step 6: Final answer
    x = 224.93

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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.