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Finding the Fourth Proportional to 194.33, 292.61 and 143.30

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Solution

The fourth proportional to 194.33, 292.61 and 143.30 is: 215.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.33 : 292.61 = 143.30 : x
  2. Step 2: Convert to fraction form
    194.33/292.61 = 143.30/x
  3. Step 3: Cross multiply
    194.33x = 292.61 × 143.30
  4. Step 4: Simplify right side
    194.33x = 41,932.10
  5. Step 5: Solve for x
    x = 41,932.10/194.33
  6. Step 6: Final answer
    x = 215.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.