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Finding the Fourth Proportional to 238.15, 354.76 and 217.09

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Solution

The fourth proportional to 238.15, 354.76 and 217.09 is: 323.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.15 : 354.76 = 217.09 : x
  2. Step 2: Convert to fraction form
    238.15/354.76 = 217.09/x
  3. Step 3: Cross multiply
    238.15x = 354.76 × 217.09
  4. Step 4: Simplify right side
    238.15x = 77,014.85
  5. Step 5: Solve for x
    x = 77,014.85/238.15
  6. Step 6: Final answer
    x = 323.39

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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.