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Finding the Fourth Proportional to 194.20, 289.76 and 178

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Solution

The fourth proportional to 194.20, 289.76 and 178 is: 265.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.20 : 289.76 = 178 : x
  2. Step 2: Convert to fraction form
    194.20/289.76 = 178/x
  3. Step 3: Cross multiply
    194.20x = 289.76 × 178
  4. Step 4: Simplify right side
    194.20x = 51,577.28
  5. Step 5: Solve for x
    x = 51,577.28/194.20
  6. Step 6: Final answer
    x = 265.59

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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.