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Finding the Fourth Proportional to 190.24, 285.09 and 138.82

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Solution

The fourth proportional to 190.24, 285.09 and 138.82 is: 208.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.24 : 285.09 = 138.82 : x
  2. Step 2: Convert to fraction form
    190.24/285.09 = 138.82/x
  3. Step 3: Cross multiply
    190.24x = 285.09 × 138.82
  4. Step 4: Simplify right side
    190.24x = 39,576.19
  5. Step 5: Solve for x
    x = 39,576.19/190.24
  6. Step 6: Final answer
    x = 208.03

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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.