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Finding the Fourth Proportional to 238.64, 326.46 and 237.68

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Solution

The fourth proportional to 238.64, 326.46 and 237.68 is: 325.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.64 : 326.46 = 237.68 : x
  2. Step 2: Convert to fraction form
    238.64/326.46 = 237.68/x
  3. Step 3: Cross multiply
    238.64x = 326.46 × 237.68
  4. Step 4: Simplify right side
    238.64x = 77,593.01
  5. Step 5: Solve for x
    x = 77,593.01/238.64
  6. Step 6: Final answer
    x = 325.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.