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Finding the Fourth Proportional to 192.64, 289.26 and 171.04

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Solution

The fourth proportional to 192.64, 289.26 and 171.04 is: 256.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.64 : 289.26 = 171.04 : x
  2. Step 2: Convert to fraction form
    192.64/289.26 = 171.04/x
  3. Step 3: Cross multiply
    192.64x = 289.26 × 171.04
  4. Step 4: Simplify right side
    192.64x = 49,475.03
  5. Step 5: Solve for x
    x = 49,475.03/192.64
  6. Step 6: Final answer
    x = 256.83

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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.