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Finding the Fourth Proportional to 236.19, 353.82 and 133.15

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Solution

The fourth proportional to 236.19, 353.82 and 133.15 is: 199.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.19 : 353.82 = 133.15 : x
  2. Step 2: Convert to fraction form
    236.19/353.82 = 133.15/x
  3. Step 3: Cross multiply
    236.19x = 353.82 × 133.15
  4. Step 4: Simplify right side
    236.19x = 47,111.13
  5. Step 5: Solve for x
    x = 47,111.13/236.19
  6. Step 6: Final answer
    x = 199.46

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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.