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Finding the Fourth Proportional to 170.69, 254.74 and 166.37

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Solution

The fourth proportional to 170.69, 254.74 and 166.37 is: 248.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.69 : 254.74 = 166.37 : x
  2. Step 2: Convert to fraction form
    170.69/254.74 = 166.37/x
  3. Step 3: Cross multiply
    170.69x = 254.74 × 166.37
  4. Step 4: Simplify right side
    170.69x = 42,381.09
  5. Step 5: Solve for x
    x = 42,381.09/170.69
  6. Step 6: Final answer
    x = 248.29

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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.