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Finding the Fourth Proportional to 192.84, 288.96 and 96.36

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Solution

The fourth proportional to 192.84, 288.96 and 96.36 is: 144.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.84 : 288.96 = 96.36 : x
  2. Step 2: Convert to fraction form
    192.84/288.96 = 96.36/x
  3. Step 3: Cross multiply
    192.84x = 288.96 × 96.36
  4. Step 4: Simplify right side
    192.84x = 27,844.19
  5. Step 5: Solve for x
    x = 27,844.19/192.84
  6. Step 6: Final answer
    x = 144.39

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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.