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Finding the Fourth Proportional to 171.20, 255.48 and 155.87

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Solution

The fourth proportional to 171.20, 255.48 and 155.87 is: 232.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.20 : 255.48 = 155.87 : x
  2. Step 2: Convert to fraction form
    171.20/255.48 = 155.87/x
  3. Step 3: Cross multiply
    171.20x = 255.48 × 155.87
  4. Step 4: Simplify right side
    171.20x = 39,820.89
  5. Step 5: Solve for x
    x = 39,820.89/171.20
  6. Step 6: Final answer
    x = 232.60

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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.