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Finding the Fourth Proportional to 192.02, 287.94 and 74.87

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Solution

The fourth proportional to 192.02, 287.94 and 74.87 is: 112.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.02 : 287.94 = 74.87 : x
  2. Step 2: Convert to fraction form
    192.02/287.94 = 74.87/x
  3. Step 3: Cross multiply
    192.02x = 287.94 × 74.87
  4. Step 4: Simplify right side
    192.02x = 21,556.63
  5. Step 5: Solve for x
    x = 21,556.63/192.02
  6. Step 6: Final answer
    x = 112.27

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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.