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Finding the Fourth Proportional to 171.19, 258.64 and 169.75

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Solution

The fourth proportional to 171.19, 258.64 and 169.75 is: 256.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.19 : 258.64 = 169.75 : x
  2. Step 2: Convert to fraction form
    171.19/258.64 = 169.75/x
  3. Step 3: Cross multiply
    171.19x = 258.64 × 169.75
  4. Step 4: Simplify right side
    171.19x = 43,904.14
  5. Step 5: Solve for x
    x = 43,904.14/171.19
  6. Step 6: Final answer
    x = 256.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.