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Finding the Fourth Proportional to 190.21, 263.79 and 178.33

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Solution

The fourth proportional to 190.21, 263.79 and 178.33 is: 247.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.21 : 263.79 = 178.33 : x
  2. Step 2: Convert to fraction form
    190.21/263.79 = 178.33/x
  3. Step 3: Cross multiply
    190.21x = 263.79 × 178.33
  4. Step 4: Simplify right side
    190.21x = 47,041.67
  5. Step 5: Solve for x
    x = 47,041.67/190.21
  6. Step 6: Final answer
    x = 247.31

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.