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Finding the Fourth Proportional to 193.27, 287.77 and 190.35

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Solution

The fourth proportional to 193.27, 287.77 and 190.35 is: 283.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.27 : 287.77 = 190.35 : x
  2. Step 2: Convert to fraction form
    193.27/287.77 = 190.35/x
  3. Step 3: Cross multiply
    193.27x = 287.77 × 190.35
  4. Step 4: Simplify right side
    193.27x = 54,777.02
  5. Step 5: Solve for x
    x = 54,777.02/193.27
  6. Step 6: Final answer
    x = 283.42

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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.