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Finding the Fourth Proportional to 171.69, 257.54 and 90.69

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Solution

The fourth proportional to 171.69, 257.54 and 90.69 is: 136.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.69 : 257.54 = 90.69 : x
  2. Step 2: Convert to fraction form
    171.69/257.54 = 90.69/x
  3. Step 3: Cross multiply
    171.69x = 257.54 × 90.69
  4. Step 4: Simplify right side
    171.69x = 23,355.85
  5. Step 5: Solve for x
    x = 23,355.85/171.69
  6. Step 6: Final answer
    x = 136.04

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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.