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Finding the Fourth Proportional to 238.86, 330.48 and 233.67

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Solution

The fourth proportional to 238.86, 330.48 and 233.67 is: 323.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.86 : 330.48 = 233.67 : x
  2. Step 2: Convert to fraction form
    238.86/330.48 = 233.67/x
  3. Step 3: Cross multiply
    238.86x = 330.48 × 233.67
  4. Step 4: Simplify right side
    238.86x = 77,223.26
  5. Step 5: Solve for x
    x = 77,223.26/238.86
  6. Step 6: Final answer
    x = 323.30

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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.