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Finding the Fourth Proportional to 166.02, 250.35 and 163.17

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Solution

The fourth proportional to 166.02, 250.35 and 163.17 is: 246.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.02 : 250.35 = 163.17 : x
  2. Step 2: Convert to fraction form
    166.02/250.35 = 163.17/x
  3. Step 3: Cross multiply
    166.02x = 250.35 × 163.17
  4. Step 4: Simplify right side
    166.02x = 40,849.61
  5. Step 5: Solve for x
    x = 40,849.61/166.02
  6. Step 6: Final answer
    x = 246.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.