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Finding the Fourth Proportional to 192.74, 288.42 and 154.47

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Solution

The fourth proportional to 192.74, 288.42 and 154.47 is: 231.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.74 : 288.42 = 154.47 : x
  2. Step 2: Convert to fraction form
    192.74/288.42 = 154.47/x
  3. Step 3: Cross multiply
    192.74x = 288.42 × 154.47
  4. Step 4: Simplify right side
    192.74x = 44,552.24
  5. Step 5: Solve for x
    x = 44,552.24/192.74
  6. Step 6: Final answer
    x = 231.15

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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.