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Finding the Fourth Proportional to 233.63, 323.01 and 223.43

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Solution

The fourth proportional to 233.63, 323.01 and 223.43 is: 308.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.63 : 323.01 = 223.43 : x
  2. Step 2: Convert to fraction form
    233.63/323.01 = 223.43/x
  3. Step 3: Cross multiply
    233.63x = 323.01 × 223.43
  4. Step 4: Simplify right side
    233.63x = 72,168.51
  5. Step 5: Solve for x
    x = 72,168.51/233.63
  6. Step 6: Final answer
    x = 308.91

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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.