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Finding the Fourth Proportional to 171.64, 235.35 and 169.48

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Solution

The fourth proportional to 171.64, 235.35 and 169.48 is: 232.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.64 : 235.35 = 169.48 : x
  2. Step 2: Convert to fraction form
    171.64/235.35 = 169.48/x
  3. Step 3: Cross multiply
    171.64x = 235.35 × 169.48
  4. Step 4: Simplify right side
    171.64x = 39,887.12
  5. Step 5: Solve for x
    x = 39,887.12/171.64
  6. Step 6: Final answer
    x = 232.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.