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Finding the Fourth Proportional to 233.08, 323.76 and 229.36

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Solution

The fourth proportional to 233.08, 323.76 and 229.36 is: 318.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.08 : 323.76 = 229.36 : x
  2. Step 2: Convert to fraction form
    233.08/323.76 = 229.36/x
  3. Step 3: Cross multiply
    233.08x = 323.76 × 229.36
  4. Step 4: Simplify right side
    233.08x = 74,256.78
  5. Step 5: Solve for x
    x = 74,256.78/233.08
  6. Step 6: Final answer
    x = 318.59

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.