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Finding the Fourth Proportional to 171.58, 258.91 and 165.28

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Solution

The fourth proportional to 171.58, 258.91 and 165.28 is: 249.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.58 : 258.91 = 165.28 : x
  2. Step 2: Convert to fraction form
    171.58/258.91 = 165.28/x
  3. Step 3: Cross multiply
    171.58x = 258.91 × 165.28
  4. Step 4: Simplify right side
    171.58x = 42,792.64
  5. Step 5: Solve for x
    x = 42,792.64/171.58
  6. Step 6: Final answer
    x = 249.40

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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.