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Finding the Fourth Proportional to 190, 284.35 and 138.97

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Solution

The fourth proportional to 190, 284.35 and 138.97 is: 207.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    190 : 284.35 = 138.97 : x
  2. Step 2: Convert to fraction form
    190/284.35 = 138.97/x
  3. Step 3: Cross multiply
    190x = 284.35 × 138.97
  4. Step 4: Simplify right side
    190x = 39,516.12
  5. Step 5: Solve for x
    x = 39,516.12/190
  6. Step 6: Final answer
    x = 207.98

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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.