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Finding the Fourth Proportional to 194.09, 291.14 and 49.81

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Solution

The fourth proportional to 194.09, 291.14 and 49.81 is: 74.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.09 : 291.14 = 49.81 : x
  2. Step 2: Convert to fraction form
    194.09/291.14 = 49.81/x
  3. Step 3: Cross multiply
    194.09x = 291.14 × 49.81
  4. Step 4: Simplify right side
    194.09x = 14,501.68
  5. Step 5: Solve for x
    x = 14,501.68/194.09
  6. Step 6: Final answer
    x = 74.72

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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.