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Finding the Fourth Proportional to 194.69, 291.76 and 79.02

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Solution

The fourth proportional to 194.69, 291.76 and 79.02 is: 118.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.69 : 291.76 = 79.02 : x
  2. Step 2: Convert to fraction form
    194.69/291.76 = 79.02/x
  3. Step 3: Cross multiply
    194.69x = 291.76 × 79.02
  4. Step 4: Simplify right side
    194.69x = 23,054.68
  5. Step 5: Solve for x
    x = 23,054.68/194.69
  6. Step 6: Final answer
    x = 118.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.