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Finding the Fourth Proportional to 190.28, 264.40 and 188

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Solution

The fourth proportional to 190.28, 264.40 and 188 is: 261.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.28 : 264.40 = 188 : x
  2. Step 2: Convert to fraction form
    190.28/264.40 = 188/x
  3. Step 3: Cross multiply
    190.28x = 264.40 × 188
  4. Step 4: Simplify right side
    190.28x = 49,706.26
  5. Step 5: Solve for x
    x = 49,706.26/190.28
  6. Step 6: Final answer
    x = 261.23

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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.