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Finding the Fourth Proportional to 171.96, 256.07 and 165.81

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Solution

The fourth proportional to 171.96, 256.07 and 165.81 is: 246.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.96 : 256.07 = 165.81 : x
  2. Step 2: Convert to fraction form
    171.96/256.07 = 165.81/x
  3. Step 3: Cross multiply
    171.96x = 256.07 × 165.81
  4. Step 4: Simplify right side
    171.96x = 42,458.14
  5. Step 5: Solve for x
    x = 42,458.14/171.96
  6. Step 6: Final answer
    x = 246.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.