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Finding the Fourth Proportional to 171.89, 257.60 and 137.76

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Solution

The fourth proportional to 171.89, 257.60 and 137.76 is: 206.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.89 : 257.60 = 137.76 : x
  2. Step 2: Convert to fraction form
    171.89/257.60 = 137.76/x
  3. Step 3: Cross multiply
    171.89x = 257.60 × 137.76
  4. Step 4: Simplify right side
    171.89x = 35,486.98
  5. Step 5: Solve for x
    x = 35,486.98/171.89
  6. Step 6: Final answer
    x = 206.45

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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.