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Finding the Fourth Proportional to 212.73, 318.60 and 166.98

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Solution

The fourth proportional to 212.73, 318.60 and 166.98 is: 250.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.73 : 318.60 = 166.98 : x
  2. Step 2: Convert to fraction form
    212.73/318.60 = 166.98/x
  3. Step 3: Cross multiply
    212.73x = 318.60 × 166.98
  4. Step 4: Simplify right side
    212.73x = 53,199.83
  5. Step 5: Solve for x
    x = 53,199.83/212.73
  6. Step 6: Final answer
    x = 250.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.