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Finding the Fourth Proportional to 772, 1,158.02 and 194.88

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Solution

The fourth proportional to 772, 1,158.02 and 194.88 is: 292.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    772 : 1,158.02 = 194.88 : x
  2. Step 2: Convert to fraction form
    772/1,158.02 = 194.88/x
  3. Step 3: Cross multiply
    772x = 1,158.02 × 194.88
  4. Step 4: Simplify right side
    772x = 225,674.94
  5. Step 5: Solve for x
    x = 225,674.94/772
  6. Step 6: Final answer
    x = 292.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.