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Finding the Fourth Proportional to 212.74, 294.10 and 163.54

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Solution

The fourth proportional to 212.74, 294.10 and 163.54 is: 226.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.74 : 294.10 = 163.54 : x
  2. Step 2: Convert to fraction form
    212.74/294.10 = 163.54/x
  3. Step 3: Cross multiply
    212.74x = 294.10 × 163.54
  4. Step 4: Simplify right side
    212.74x = 48,097.11
  5. Step 5: Solve for x
    x = 48,097.11/212.74
  6. Step 6: Final answer
    x = 226.08

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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.