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Finding the Fourth Proportional to 166.25, 248.13 and 145.73

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Solution

The fourth proportional to 166.25, 248.13 and 145.73 is: 217.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.25 : 248.13 = 145.73 : x
  2. Step 2: Convert to fraction form
    166.25/248.13 = 145.73/x
  3. Step 3: Cross multiply
    166.25x = 248.13 × 145.73
  4. Step 4: Simplify right side
    166.25x = 36,158.74
  5. Step 5: Solve for x
    x = 36,158.74/166.25
  6. Step 6: Final answer
    x = 217.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.