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Finding the Fourth Proportional to 235.89, 353.85 and 106.02

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Solution

The fourth proportional to 235.89, 353.85 and 106.02 is: 159.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.89 : 353.85 = 106.02 : x
  2. Step 2: Convert to fraction form
    235.89/353.85 = 106.02/x
  3. Step 3: Cross multiply
    235.89x = 353.85 × 106.02
  4. Step 4: Simplify right side
    235.89x = 37,515.18
  5. Step 5: Solve for x
    x = 37,515.18/235.89
  6. Step 6: Final answer
    x = 159.04

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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.