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Finding the Fourth Proportional to 235.81, 353.86 and 98.95

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Solution

The fourth proportional to 235.81, 353.86 and 98.95 is: 148.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.81 : 353.86 = 98.95 : x
  2. Step 2: Convert to fraction form
    235.81/353.86 = 98.95/x
  3. Step 3: Cross multiply
    235.81x = 353.86 × 98.95
  4. Step 4: Simplify right side
    235.81x = 35,012.68
  5. Step 5: Solve for x
    x = 35,012.68/235.81
  6. Step 6: Final answer
    x = 148.48

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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.