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Finding the Fourth Proportional to 277.83, 383.67 and 234.09

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Solution

The fourth proportional to 277.83, 383.67 and 234.09 is: 323.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.83 : 383.67 = 234.09 : x
  2. Step 2: Convert to fraction form
    277.83/383.67 = 234.09/x
  3. Step 3: Cross multiply
    277.83x = 383.67 × 234.09
  4. Step 4: Simplify right side
    277.83x = 89,813.31
  5. Step 5: Solve for x
    x = 89,813.31/277.83
  6. Step 6: Final answer
    x = 323.27

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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.