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Finding the Fourth Proportional to 233.14, 347.87 and 227.89

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Solution

The fourth proportional to 233.14, 347.87 and 227.89 is: 340.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.14 : 347.87 = 227.89 : x
  2. Step 2: Convert to fraction form
    233.14/347.87 = 227.89/x
  3. Step 3: Cross multiply
    233.14x = 347.87 × 227.89
  4. Step 4: Simplify right side
    233.14x = 79,276.09
  5. Step 5: Solve for x
    x = 79,276.09/233.14
  6. Step 6: Final answer
    x = 340.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.