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Finding the Fourth Proportional to 190.28, 262.71 and 138.00

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Solution

The fourth proportional to 190.28, 262.71 and 138.00 is: 190.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.28 : 262.71 = 138.00 : x
  2. Step 2: Convert to fraction form
    190.28/262.71 = 138.00/x
  3. Step 3: Cross multiply
    190.28x = 262.71 × 138.00
  4. Step 4: Simplify right side
    190.28x = 36,252.67
  5. Step 5: Solve for x
    x = 36,252.67/190.28
  6. Step 6: Final answer
    x = 190.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.