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Finding the Fourth Proportional to 194.02, 290.97 and 85.78

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Solution

The fourth proportional to 194.02, 290.97 and 85.78 is: 128.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.02 : 290.97 = 85.78 : x
  2. Step 2: Convert to fraction form
    194.02/290.97 = 85.78/x
  3. Step 3: Cross multiply
    194.02x = 290.97 × 85.78
  4. Step 4: Simplify right side
    194.02x = 24,959.41
  5. Step 5: Solve for x
    x = 24,959.41/194.02
  6. Step 6: Final answer
    x = 128.64

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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.