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Finding the Fourth Proportional to 192.72, 287.16 and 190.86

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Solution

The fourth proportional to 192.72, 287.16 and 190.86 is: 284.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.72 : 287.16 = 190.86 : x
  2. Step 2: Convert to fraction form
    192.72/287.16 = 190.86/x
  3. Step 3: Cross multiply
    192.72x = 287.16 × 190.86
  4. Step 4: Simplify right side
    192.72x = 54,807.36
  5. Step 5: Solve for x
    x = 54,807.36/192.72
  6. Step 6: Final answer
    x = 284.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.