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Finding the Fourth Proportional to 238.67, 357.71 and 210.98

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Solution

The fourth proportional to 238.67, 357.71 and 210.98 is: 316.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.67 : 357.71 = 210.98 : x
  2. Step 2: Convert to fraction form
    238.67/357.71 = 210.98/x
  3. Step 3: Cross multiply
    238.67x = 357.71 × 210.98
  4. Step 4: Simplify right side
    238.67x = 75,469.50
  5. Step 5: Solve for x
    x = 75,469.50/238.67
  6. Step 6: Final answer
    x = 316.22

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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.