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Finding the Fourth Proportional to 194.17, 289.91 and 135.94

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Solution

The fourth proportional to 194.17, 289.91 and 135.94 is: 202.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.17 : 289.91 = 135.94 : x
  2. Step 2: Convert to fraction form
    194.17/289.91 = 135.94/x
  3. Step 3: Cross multiply
    194.17x = 289.91 × 135.94
  4. Step 4: Simplify right side
    194.17x = 39,410.37
  5. Step 5: Solve for x
    x = 39,410.37/194.17
  6. Step 6: Final answer
    x = 202.97

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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.