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Finding the Fourth Proportional to 236.20, 353.94 and 99.22

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Solution

The fourth proportional to 236.20, 353.94 and 99.22 is: 148.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.20 : 353.94 = 99.22 : x
  2. Step 2: Convert to fraction form
    236.20/353.94 = 99.22/x
  3. Step 3: Cross multiply
    236.20x = 353.94 × 99.22
  4. Step 4: Simplify right side
    236.20x = 35,117.93
  5. Step 5: Solve for x
    x = 35,117.93/236.20
  6. Step 6: Final answer
    x = 148.68

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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.