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Finding the Fourth Proportional to 233.86, 348.49 and 227.26

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Solution

The fourth proportional to 233.86, 348.49 and 227.26 is: 338.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.86 : 348.49 = 227.26 : x
  2. Step 2: Convert to fraction form
    233.86/348.49 = 227.26/x
  3. Step 3: Cross multiply
    233.86x = 348.49 × 227.26
  4. Step 4: Simplify right side
    233.86x = 79,197.84
  5. Step 5: Solve for x
    x = 79,197.84/233.86
  6. Step 6: Final answer
    x = 338.65

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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.