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Finding the Fourth Proportional to 190.50, 261.74 and 159.36

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Solution

The fourth proportional to 190.50, 261.74 and 159.36 is: 218.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.50 : 261.74 = 159.36 : x
  2. Step 2: Convert to fraction form
    190.50/261.74 = 159.36/x
  3. Step 3: Cross multiply
    190.50x = 261.74 × 159.36
  4. Step 4: Simplify right side
    190.50x = 41,710.09
  5. Step 5: Solve for x
    x = 41,710.09/190.50
  6. Step 6: Final answer
    x = 218.95

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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.