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Finding the Fourth Proportional to 192.88, 289.08 and 171.16

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Solution

The fourth proportional to 192.88, 289.08 and 171.16 is: 256.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.88 : 289.08 = 171.16 : x
  2. Step 2: Convert to fraction form
    192.88/289.08 = 171.16/x
  3. Step 3: Cross multiply
    192.88x = 289.08 × 171.16
  4. Step 4: Simplify right side
    192.88x = 49,478.93
  5. Step 5: Solve for x
    x = 49,478.93/192.88
  6. Step 6: Final answer
    x = 256.53

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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.