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Finding the Fourth Proportional to 192.23, 265.32 and 133.20

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Solution

The fourth proportional to 192.23, 265.32 and 133.20 is: 183.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.23 : 265.32 = 133.20 : x
  2. Step 2: Convert to fraction form
    192.23/265.32 = 133.20/x
  3. Step 3: Cross multiply
    192.23x = 265.32 × 133.20
  4. Step 4: Simplify right side
    192.23x = 35,340.62
  5. Step 5: Solve for x
    x = 35,340.62/192.23
  6. Step 6: Final answer
    x = 183.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.