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Finding the Fourth Proportional to 192.53, 289.11 and 178.31

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Solution

The fourth proportional to 192.53, 289.11 and 178.31 is: 267.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.53 : 289.11 = 178.31 : x
  2. Step 2: Convert to fraction form
    192.53/289.11 = 178.31/x
  3. Step 3: Cross multiply
    192.53x = 289.11 × 178.31
  4. Step 4: Simplify right side
    192.53x = 51,551.20
  5. Step 5: Solve for x
    x = 51,551.20/192.53
  6. Step 6: Final answer
    x = 267.76

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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.