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Finding the Fourth Proportional to 194.83, 294.46 and 191.47

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Solution

The fourth proportional to 194.83, 294.46 and 191.47 is: 289.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.83 : 294.46 = 191.47 : x
  2. Step 2: Convert to fraction form
    194.83/294.46 = 191.47/x
  3. Step 3: Cross multiply
    194.83x = 294.46 × 191.47
  4. Step 4: Simplify right side
    194.83x = 56,379.30
  5. Step 5: Solve for x
    x = 56,379.30/194.83
  6. Step 6: Final answer
    x = 289.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.