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Finding the Fourth Proportional to 190.75, 261.51 and 187.29

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Solution

The fourth proportional to 190.75, 261.51 and 187.29 is: 256.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.75 : 261.51 = 187.29 : x
  2. Step 2: Convert to fraction form
    190.75/261.51 = 187.29/x
  3. Step 3: Cross multiply
    190.75x = 261.51 × 187.29
  4. Step 4: Simplify right side
    190.75x = 48,976.90
  5. Step 5: Solve for x
    x = 48,976.90/190.75
  6. Step 6: Final answer
    x = 256.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.