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Finding the Fourth Proportional to 190.11, 262.31 and 145.90

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Solution

The fourth proportional to 190.11, 262.31 and 145.90 is: 201.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.11 : 262.31 = 145.90 : x
  2. Step 2: Convert to fraction form
    190.11/262.31 = 145.90/x
  3. Step 3: Cross multiply
    190.11x = 262.31 × 145.90
  4. Step 4: Simplify right side
    190.11x = 38,271.03
  5. Step 5: Solve for x
    x = 38,271.03/190.11
  6. Step 6: Final answer
    x = 201.31

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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.