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Finding the Fourth Proportional to 194.12, 289.07 and 193.58

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Solution

The fourth proportional to 194.12, 289.07 and 193.58 is: 288.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.12 : 289.07 = 193.58 : x
  2. Step 2: Convert to fraction form
    194.12/289.07 = 193.58/x
  3. Step 3: Cross multiply
    194.12x = 289.07 × 193.58
  4. Step 4: Simplify right side
    194.12x = 55,958.17
  5. Step 5: Solve for x
    x = 55,958.17/194.12
  6. Step 6: Final answer
    x = 288.27

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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.