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Finding the Fourth Proportional to 238.41, 359.64 and 223.83

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Solution

The fourth proportional to 238.41, 359.64 and 223.83 is: 337.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.41 : 359.64 = 223.83 : x
  2. Step 2: Convert to fraction form
    238.41/359.64 = 223.83/x
  3. Step 3: Cross multiply
    238.41x = 359.64 × 223.83
  4. Step 4: Simplify right side
    238.41x = 80,498.22
  5. Step 5: Solve for x
    x = 80,498.22/238.41
  6. Step 6: Final answer
    x = 337.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.