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Finding the Fourth Proportional to 194.19, 289.22 and 181.53

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Solution

The fourth proportional to 194.19, 289.22 and 181.53 is: 270.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.19 : 289.22 = 181.53 : x
  2. Step 2: Convert to fraction form
    194.19/289.22 = 181.53/x
  3. Step 3: Cross multiply
    194.19x = 289.22 × 181.53
  4. Step 4: Simplify right side
    194.19x = 52,501.20
  5. Step 5: Solve for x
    x = 52,501.20/194.19
  6. Step 6: Final answer
    x = 270.36

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