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Finding the Fourth Proportional to 169.76, 235.68 and 164.48

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Solution

The fourth proportional to 169.76, 235.68 and 164.48 is: 228.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.76 : 235.68 = 164.48 : x
  2. Step 2: Convert to fraction form
    169.76/235.68 = 164.48/x
  3. Step 3: Cross multiply
    169.76x = 235.68 × 164.48
  4. Step 4: Simplify right side
    169.76x = 38,764.65
  5. Step 5: Solve for x
    x = 38,764.65/169.76
  6. Step 6: Final answer
    x = 228.35

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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.