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Finding the Fourth Proportional to 238.23, 324.51 and 233.79

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Solution

The fourth proportional to 238.23, 324.51 and 233.79 is: 318.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.23 : 324.51 = 233.79 : x
  2. Step 2: Convert to fraction form
    238.23/324.51 = 233.79/x
  3. Step 3: Cross multiply
    238.23x = 324.51 × 233.79
  4. Step 4: Simplify right side
    238.23x = 75,867.19
  5. Step 5: Solve for x
    x = 75,867.19/238.23
  6. Step 6: Final answer
    x = 318.46

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.