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Finding the Fourth Proportional to 238.16, 326.42 and 235.76

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Solution

The fourth proportional to 238.16, 326.42 and 235.76 is: 323.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.16 : 326.42 = 235.76 : x
  2. Step 2: Convert to fraction form
    238.16/326.42 = 235.76/x
  3. Step 3: Cross multiply
    238.16x = 326.42 × 235.76
  4. Step 4: Simplify right side
    238.16x = 76,956.78
  5. Step 5: Solve for x
    x = 76,956.78/238.16
  6. Step 6: Final answer
    x = 323.13

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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.