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Finding the Fourth Proportional to 195.76, 291.44 and 194.08

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Solution

The fourth proportional to 195.76, 291.44 and 194.08 is: 288.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.76 : 291.44 = 194.08 : x
  2. Step 2: Convert to fraction form
    195.76/291.44 = 194.08/x
  3. Step 3: Cross multiply
    195.76x = 291.44 × 194.08
  4. Step 4: Simplify right side
    195.76x = 56,562.68
  5. Step 5: Solve for x
    x = 56,562.68/195.76
  6. Step 6: Final answer
    x = 288.94

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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.