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Finding the Fourth Proportional to 166.56, 248.03 and 164.74

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Solution

The fourth proportional to 166.56, 248.03 and 164.74 is: 245.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.56 : 248.03 = 164.74 : x
  2. Step 2: Convert to fraction form
    166.56/248.03 = 164.74/x
  3. Step 3: Cross multiply
    166.56x = 248.03 × 164.74
  4. Step 4: Simplify right side
    166.56x = 40,859.02
  5. Step 5: Solve for x
    x = 40,859.02/166.56
  6. Step 6: Final answer
    x = 245.31

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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.