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Finding the Fourth Proportional to 236.85, 353.25 and 216.35

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Solution

The fourth proportional to 236.85, 353.25 and 216.35 is: 322.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.85 : 353.25 = 216.35 : x
  2. Step 2: Convert to fraction form
    236.85/353.25 = 216.35/x
  3. Step 3: Cross multiply
    236.85x = 353.25 × 216.35
  4. Step 4: Simplify right side
    236.85x = 76,425.64
  5. Step 5: Solve for x
    x = 76,425.64/236.85
  6. Step 6: Final answer
    x = 322.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.