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Finding the Fourth Proportional to 190.88, 261.52 and 185.60

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Solution

The fourth proportional to 190.88, 261.52 and 185.60 is: 254.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.88 : 261.52 = 185.60 : x
  2. Step 2: Convert to fraction form
    190.88/261.52 = 185.60/x
  3. Step 3: Cross multiply
    190.88x = 261.52 × 185.60
  4. Step 4: Simplify right side
    190.88x = 48,538.11
  5. Step 5: Solve for x
    x = 48,538.11/190.88
  6. Step 6: Final answer
    x = 254.29

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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.