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Finding the Fourth Proportional to 190.83, 263.43 and 141.78

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Solution

The fourth proportional to 190.83, 263.43 and 141.78 is: 195.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.83 : 263.43 = 141.78 : x
  2. Step 2: Convert to fraction form
    190.83/263.43 = 141.78/x
  3. Step 3: Cross multiply
    190.83x = 263.43 × 141.78
  4. Step 4: Simplify right side
    190.83x = 37,349.11
  5. Step 5: Solve for x
    x = 37,349.11/190.83
  6. Step 6: Final answer
    x = 195.72

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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.