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Finding the Fourth Proportional to 235.90, 353.82 and 98.92

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Solution

The fourth proportional to 235.90, 353.82 and 98.92 is: 148.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.90 : 353.82 = 98.92 : x
  2. Step 2: Convert to fraction form
    235.90/353.82 = 98.92/x
  3. Step 3: Cross multiply
    235.90x = 353.82 × 98.92
  4. Step 4: Simplify right side
    235.90x = 34,999.87
  5. Step 5: Solve for x
    x = 34,999.87/235.90
  6. Step 6: Final answer
    x = 148.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.