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Finding the Fourth Proportional to 199.72, 297.48 and 190.36

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Solution

The fourth proportional to 199.72, 297.48 and 190.36 is: 283.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.72 : 297.48 = 190.36 : x
  2. Step 2: Convert to fraction form
    199.72/297.48 = 190.36/x
  3. Step 3: Cross multiply
    199.72x = 297.48 × 190.36
  4. Step 4: Simplify right side
    199.72x = 56,628.29
  5. Step 5: Solve for x
    x = 56,628.29/199.72
  6. Step 6: Final answer
    x = 283.54

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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.