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Finding the Fourth Proportional to 235.10, 324.61 and 169.63

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Solution

The fourth proportional to 235.10, 324.61 and 169.63 is: 234.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.10 : 324.61 = 169.63 : x
  2. Step 2: Convert to fraction form
    235.10/324.61 = 169.63/x
  3. Step 3: Cross multiply
    235.10x = 324.61 × 169.63
  4. Step 4: Simplify right side
    235.10x = 55,062.36
  5. Step 5: Solve for x
    x = 55,062.36/235.10
  6. Step 6: Final answer
    x = 234.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.