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Finding the Fourth Proportional to 235.40, 351.27 and 194.90

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Solution

The fourth proportional to 235.40, 351.27 and 194.90 is: 290.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.40 : 351.27 = 194.90 : x
  2. Step 2: Convert to fraction form
    235.40/351.27 = 194.90/x
  3. Step 3: Cross multiply
    235.40x = 351.27 × 194.90
  4. Step 4: Simplify right side
    235.40x = 68,462.52
  5. Step 5: Solve for x
    x = 68,462.52/235.40
  6. Step 6: Final answer
    x = 290.83

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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.