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Finding the Fourth Proportional to 194.29, 289.75 and 178.54

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Solution

The fourth proportional to 194.29, 289.75 and 178.54 is: 266.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.29 : 289.75 = 178.54 : x
  2. Step 2: Convert to fraction form
    194.29/289.75 = 178.54/x
  3. Step 3: Cross multiply
    194.29x = 289.75 × 178.54
  4. Step 4: Simplify right side
    194.29x = 51,731.97
  5. Step 5: Solve for x
    x = 51,731.97/194.29
  6. Step 6: Final answer
    x = 266.26

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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.