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Finding the Fourth Proportional to 235.70, 354.90 and 194.95

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Solution

The fourth proportional to 235.70, 354.90 and 194.95 is: 293.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.70 : 354.90 = 194.95 : x
  2. Step 2: Convert to fraction form
    235.70/354.90 = 194.95/x
  3. Step 3: Cross multiply
    235.70x = 354.90 × 194.95
  4. Step 4: Simplify right side
    235.70x = 69,187.76
  5. Step 5: Solve for x
    x = 69,187.76/235.70
  6. Step 6: Final answer
    x = 293.54

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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.