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Finding the Fourth Proportional to 190.84, 286.44 and 181.28

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Solution

The fourth proportional to 190.84, 286.44 and 181.28 is: 272.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.84 : 286.44 = 181.28 : x
  2. Step 2: Convert to fraction form
    190.84/286.44 = 181.28/x
  3. Step 3: Cross multiply
    190.84x = 286.44 × 181.28
  4. Step 4: Simplify right side
    190.84x = 51,925.84
  5. Step 5: Solve for x
    x = 51,925.84/190.84
  6. Step 6: Final answer
    x = 272.09

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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.