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Finding the Fourth Proportional to 190.28, 283.48 and 181.10

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Solution

The fourth proportional to 190.28, 283.48 and 181.10 is: 269.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.28 : 283.48 = 181.10 : x
  2. Step 2: Convert to fraction form
    190.28/283.48 = 181.10/x
  3. Step 3: Cross multiply
    190.28x = 283.48 × 181.10
  4. Step 4: Simplify right side
    190.28x = 51,338.23
  5. Step 5: Solve for x
    x = 51,338.23/190.28
  6. Step 6: Final answer
    x = 269.80

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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.