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Finding the Fourth Proportional to 170.10, 254.12 and 166.84

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Solution

The fourth proportional to 170.10, 254.12 and 166.84 is: 249.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.10 : 254.12 = 166.84 : x
  2. Step 2: Convert to fraction form
    170.10/254.12 = 166.84/x
  3. Step 3: Cross multiply
    170.10x = 254.12 × 166.84
  4. Step 4: Simplify right side
    170.10x = 42,397.38
  5. Step 5: Solve for x
    x = 42,397.38/170.10
  6. Step 6: Final answer
    x = 249.25

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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.