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Finding the Fourth Proportional to 238.90, 357.82 and 206.86

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Solution

The fourth proportional to 238.90, 357.82 and 206.86 is: 309.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.90 : 357.82 = 206.86 : x
  2. Step 2: Convert to fraction form
    238.90/357.82 = 206.86/x
  3. Step 3: Cross multiply
    238.90x = 357.82 × 206.86
  4. Step 4: Simplify right side
    238.90x = 74,018.65
  5. Step 5: Solve for x
    x = 74,018.65/238.90
  6. Step 6: Final answer
    x = 309.83

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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.