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Finding the Fourth Proportional to 192.02, 287.96 and 70.27

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Solution

The fourth proportional to 192.02, 287.96 and 70.27 is: 105.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.02 : 287.96 = 70.27 : x
  2. Step 2: Convert to fraction form
    192.02/287.96 = 70.27/x
  3. Step 3: Cross multiply
    192.02x = 287.96 × 70.27
  4. Step 4: Simplify right side
    192.02x = 20,233.88
  5. Step 5: Solve for x
    x = 20,233.88/192.02
  6. Step 6: Final answer
    x = 105.37

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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.