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Finding the Fourth Proportional to 171.63, 255.87 and 165.69

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Solution

The fourth proportional to 171.63, 255.87 and 165.69 is: 247.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.63 : 255.87 = 165.69 : x
  2. Step 2: Convert to fraction form
    171.63/255.87 = 165.69/x
  3. Step 3: Cross multiply
    171.63x = 255.87 × 165.69
  4. Step 4: Simplify right side
    171.63x = 42,395.10
  5. Step 5: Solve for x
    x = 42,395.10/171.63
  6. Step 6: Final answer
    x = 247.01

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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.