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Finding the Fourth Proportional to 171.45, 256.64 and 122.55

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Solution

The fourth proportional to 171.45, 256.64 and 122.55 is: 183.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.45 : 256.64 = 122.55 : x
  2. Step 2: Convert to fraction form
    171.45/256.64 = 122.55/x
  3. Step 3: Cross multiply
    171.45x = 256.64 × 122.55
  4. Step 4: Simplify right side
    171.45x = 31,451.23
  5. Step 5: Solve for x
    x = 31,451.23/171.45
  6. Step 6: Final answer
    x = 183.44

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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.