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Finding the Fourth Proportional to 321.88, 443.70 and 237.64

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Solution

The fourth proportional to 321.88, 443.70 and 237.64 is: 327.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.88 : 443.70 = 237.64 : x
  2. Step 2: Convert to fraction form
    321.88/443.70 = 237.64/x
  3. Step 3: Cross multiply
    321.88x = 443.70 × 237.64
  4. Step 4: Simplify right side
    321.88x = 105,440.87
  5. Step 5: Solve for x
    x = 105,440.87/321.88
  6. Step 6: Final answer
    x = 327.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.