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Finding the Fourth Proportional to 236, 353.82 and 139.64

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Solution

The fourth proportional to 236, 353.82 and 139.64 is: 209.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    236 : 353.82 = 139.64 : x
  2. Step 2: Convert to fraction form
    236/353.82 = 139.64/x
  3. Step 3: Cross multiply
    236x = 353.82 × 139.64
  4. Step 4: Simplify right side
    236x = 49,407.42
  5. Step 5: Solve for x
    x = 49,407.42/236
  6. Step 6: Final answer
    x = 209.35

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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.