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Finding the Fourth Proportional to 190.56, 264.01 and 186.31

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Solution

The fourth proportional to 190.56, 264.01 and 186.31 is: 258.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.56 : 264.01 = 186.31 : x
  2. Step 2: Convert to fraction form
    190.56/264.01 = 186.31/x
  3. Step 3: Cross multiply
    190.56x = 264.01 × 186.31
  4. Step 4: Simplify right side
    190.56x = 49,187.70
  5. Step 5: Solve for x
    x = 49,187.70/190.56
  6. Step 6: Final answer
    x = 258.12

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.