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Finding the Fourth Proportional to 192.19, 288.15 and 134.47

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Solution

The fourth proportional to 192.19, 288.15 and 134.47 is: 201.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.19 : 288.15 = 134.47 : x
  2. Step 2: Convert to fraction form
    192.19/288.15 = 134.47/x
  3. Step 3: Cross multiply
    192.19x = 288.15 × 134.47
  4. Step 4: Simplify right side
    192.19x = 38,746.09
  5. Step 5: Solve for x
    x = 38,746.09/192.19
  6. Step 6: Final answer
    x = 201.61

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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.