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Finding the Fourth Proportional to 190.89, 263.46 and 179.17

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Solution

The fourth proportional to 190.89, 263.46 and 179.17 is: 247.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.89 : 263.46 = 179.17 : x
  2. Step 2: Convert to fraction form
    190.89/263.46 = 179.17/x
  3. Step 3: Cross multiply
    190.89x = 263.46 × 179.17
  4. Step 4: Simplify right side
    190.89x = 47,204.14
  5. Step 5: Solve for x
    x = 47,204.14/190.89
  6. Step 6: Final answer
    x = 247.28

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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.