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Finding the Fourth Proportional to 236.00, 353.06 and 147.85

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Solution

The fourth proportional to 236.00, 353.06 and 147.85 is: 221.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.00 : 353.06 = 147.85 : x
  2. Step 2: Convert to fraction form
    236.00/353.06 = 147.85/x
  3. Step 3: Cross multiply
    236.00x = 353.06 × 147.85
  4. Step 4: Simplify right side
    236.00x = 52,198.85
  5. Step 5: Solve for x
    x = 52,198.85/236.00
  6. Step 6: Final answer
    x = 221.18

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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.