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Finding the Fourth Proportional to 171.90, 258.32 and 103.49

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Solution

The fourth proportional to 171.90, 258.32 and 103.49 is: 155.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.90 : 258.32 = 103.49 : x
  2. Step 2: Convert to fraction form
    171.90/258.32 = 103.49/x
  3. Step 3: Cross multiply
    171.90x = 258.32 × 103.49
  4. Step 4: Simplify right side
    171.90x = 26,731.73
  5. Step 5: Solve for x
    x = 26,731.73/171.90
  6. Step 6: Final answer
    x = 155.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.