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Finding the Fourth Proportional to 193.38, 289.04 and 158.95

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Solution

The fourth proportional to 193.38, 289.04 and 158.95 is: 237.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.38 : 289.04 = 158.95 : x
  2. Step 2: Convert to fraction form
    193.38/289.04 = 158.95/x
  3. Step 3: Cross multiply
    193.38x = 289.04 × 158.95
  4. Step 4: Simplify right side
    193.38x = 45,942.91
  5. Step 5: Solve for x
    x = 45,942.91/193.38
  6. Step 6: Final answer
    x = 237.58

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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.