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Finding the Fourth Proportional to 169.24, 234.79 and 164.80

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Solution

The fourth proportional to 169.24, 234.79 and 164.80 is: 228.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.24 : 234.79 = 164.80 : x
  2. Step 2: Convert to fraction form
    169.24/234.79 = 164.80/x
  3. Step 3: Cross multiply
    169.24x = 234.79 × 164.80
  4. Step 4: Simplify right side
    169.24x = 38,693.39
  5. Step 5: Solve for x
    x = 38,693.39/169.24
  6. Step 6: Final answer
    x = 228.63

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.