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Finding the Fourth Proportional to 235.10, 351.02 and 194.60

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Solution

The fourth proportional to 235.10, 351.02 and 194.60 is: 290.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.10 : 351.02 = 194.60 : x
  2. Step 2: Convert to fraction form
    235.10/351.02 = 194.60/x
  3. Step 3: Cross multiply
    235.10x = 351.02 × 194.60
  4. Step 4: Simplify right side
    235.10x = 68,308.49
  5. Step 5: Solve for x
    x = 68,308.49/235.10
  6. Step 6: Final answer
    x = 290.55

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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.