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Finding the Fourth Proportional to 190.85, 263.88 and 166.55

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Solution

The fourth proportional to 190.85, 263.88 and 166.55 is: 230.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.85 : 263.88 = 166.55 : x
  2. Step 2: Convert to fraction form
    190.85/263.88 = 166.55/x
  3. Step 3: Cross multiply
    190.85x = 263.88 × 166.55
  4. Step 4: Simplify right side
    190.85x = 43,947.89
  5. Step 5: Solve for x
    x = 43,947.89/190.85
  6. Step 6: Final answer
    x = 230.28

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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.