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Finding the Fourth Proportional to 274.83, 409.93 and 233.79

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Solution

The fourth proportional to 274.83, 409.93 and 233.79 is: 348.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.83 : 409.93 = 233.79 : x
  2. Step 2: Convert to fraction form
    274.83/409.93 = 233.79/x
  3. Step 3: Cross multiply
    274.83x = 409.93 × 233.79
  4. Step 4: Simplify right side
    274.83x = 95,836.37
  5. Step 5: Solve for x
    x = 95,836.37/274.83
  6. Step 6: Final answer
    x = 348.71

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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.