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Finding the Fourth Proportional to 166.15, 250.56 and 165.07

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Solution

The fourth proportional to 166.15, 250.56 and 165.07 is: 248.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.15 : 250.56 = 165.07 : x
  2. Step 2: Convert to fraction form
    166.15/250.56 = 165.07/x
  3. Step 3: Cross multiply
    166.15x = 250.56 × 165.07
  4. Step 4: Simplify right side
    166.15x = 41,359.94
  5. Step 5: Solve for x
    x = 41,359.94/166.15
  6. Step 6: Final answer
    x = 248.93

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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.