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Finding the Fourth Proportional to 194.86, 290.77 and 193.73

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Solution

The fourth proportional to 194.86, 290.77 and 193.73 is: 289.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.86 : 290.77 = 193.73 : x
  2. Step 2: Convert to fraction form
    194.86/290.77 = 193.73/x
  3. Step 3: Cross multiply
    194.86x = 290.77 × 193.73
  4. Step 4: Simplify right side
    194.86x = 56,330.02
  5. Step 5: Solve for x
    x = 56,330.02/194.86
  6. Step 6: Final answer
    x = 289.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.