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Finding the Fourth Proportional to 212.09, 292.64 and 118.83

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Solution

The fourth proportional to 212.09, 292.64 and 118.83 is: 163.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.09 : 292.64 = 118.83 : x
  2. Step 2: Convert to fraction form
    212.09/292.64 = 118.83/x
  3. Step 3: Cross multiply
    212.09x = 292.64 × 118.83
  4. Step 4: Simplify right side
    212.09x = 34,773.82
  5. Step 5: Solve for x
    x = 34,773.82/212.09
  6. Step 6: Final answer
    x = 163.96

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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.