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Finding the Fourth Proportional to 194.02, 289.07 and 181.78

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Solution

The fourth proportional to 194.02, 289.07 and 181.78 is: 270.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.02 : 289.07 = 181.78 : x
  2. Step 2: Convert to fraction form
    194.02/289.07 = 181.78/x
  3. Step 3: Cross multiply
    194.02x = 289.07 × 181.78
  4. Step 4: Simplify right side
    194.02x = 52,547.14
  5. Step 5: Solve for x
    x = 52,547.14/194.02
  6. Step 6: Final answer
    x = 270.83

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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.