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Finding the Fourth Proportional to 169.01, 252.26 and 146.96

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Solution

The fourth proportional to 169.01, 252.26 and 146.96 is: 219.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.01 : 252.26 = 146.96 : x
  2. Step 2: Convert to fraction form
    169.01/252.26 = 146.96/x
  3. Step 3: Cross multiply
    169.01x = 252.26 × 146.96
  4. Step 4: Simplify right side
    169.01x = 37,070.13
  5. Step 5: Solve for x
    x = 37,070.13/169.01
  6. Step 6: Final answer
    x = 219.33

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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.