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Finding the Fourth Proportional to 171.14, 256.64 and 134.64

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Solution

The fourth proportional to 171.14, 256.64 and 134.64 is: 201.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.14 : 256.64 = 134.64 : x
  2. Step 2: Convert to fraction form
    171.14/256.64 = 134.64/x
  3. Step 3: Cross multiply
    171.14x = 256.64 × 134.64
  4. Step 4: Simplify right side
    171.14x = 34,555.30
  5. Step 5: Solve for x
    x = 34,555.30/171.14
  6. Step 6: Final answer
    x = 201.92

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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.