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Finding the Fourth Proportional to 170.26, 254.33 and 145.96

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Solution

The fourth proportional to 170.26, 254.33 and 145.96 is: 218.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.26 : 254.33 = 145.96 : x
  2. Step 2: Convert to fraction form
    170.26/254.33 = 145.96/x
  3. Step 3: Cross multiply
    170.26x = 254.33 × 145.96
  4. Step 4: Simplify right side
    170.26x = 37,122.01
  5. Step 5: Solve for x
    x = 37,122.01/170.26
  6. Step 6: Final answer
    x = 218.03

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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.