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Finding the Fourth Proportional to 233.88, 321.42 and 227.40

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Solution

The fourth proportional to 233.88, 321.42 and 227.40 is: 312.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.88 : 321.42 = 227.40 : x
  2. Step 2: Convert to fraction form
    233.88/321.42 = 227.40/x
  3. Step 3: Cross multiply
    233.88x = 321.42 × 227.40
  4. Step 4: Simplify right side
    233.88x = 73,090.91
  5. Step 5: Solve for x
    x = 73,090.91/233.88
  6. Step 6: Final answer
    x = 312.51

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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.