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Finding the Fourth Proportional to 193.83, 289.02 and 189.92

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Solution

The fourth proportional to 193.83, 289.02 and 189.92 is: 283.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.83 : 289.02 = 189.92 : x
  2. Step 2: Convert to fraction form
    193.83/289.02 = 189.92/x
  3. Step 3: Cross multiply
    193.83x = 289.02 × 189.92
  4. Step 4: Simplify right side
    193.83x = 54,889.23
  5. Step 5: Solve for x
    x = 54,889.23/193.83
  6. Step 6: Final answer
    x = 283.18

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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.