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Finding the Fourth Proportional to 190.66, 264.90 and 188.46

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Solution

The fourth proportional to 190.66, 264.90 and 188.46 is: 261.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.66 : 264.90 = 188.46 : x
  2. Step 2: Convert to fraction form
    190.66/264.90 = 188.46/x
  3. Step 3: Cross multiply
    190.66x = 264.90 × 188.46
  4. Step 4: Simplify right side
    190.66x = 49,923.05
  5. Step 5: Solve for x
    x = 49,923.05/190.66
  6. Step 6: Final answer
    x = 261.84

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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.