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Finding the Fourth Proportional to 194.52, 289.63 and 193.61

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Solution

The fourth proportional to 194.52, 289.63 and 193.61 is: 288.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.52 : 289.63 = 193.61 : x
  2. Step 2: Convert to fraction form
    194.52/289.63 = 193.61/x
  3. Step 3: Cross multiply
    194.52x = 289.63 × 193.61
  4. Step 4: Simplify right side
    194.52x = 56,076.23
  5. Step 5: Solve for x
    x = 56,076.23/194.52
  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.