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Finding the Fourth Proportional to 190.52, 263.08 and 116.96

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Solution

The fourth proportional to 190.52, 263.08 and 116.96 is: 161.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.52 : 263.08 = 116.96 : x
  2. Step 2: Convert to fraction form
    190.52/263.08 = 116.96/x
  3. Step 3: Cross multiply
    190.52x = 263.08 × 116.96
  4. Step 4: Simplify right side
    190.52x = 30,768.52
  5. Step 5: Solve for x
    x = 30,768.52/190.52
  6. Step 6: Final answer
    x = 161.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.