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Finding the Fourth Proportional to 277.79, 383.71 and 213.09

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Solution

The fourth proportional to 277.79, 383.71 and 213.09 is: 294.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.79 : 383.71 = 213.09 : x
  2. Step 2: Convert to fraction form
    277.79/383.71 = 213.09/x
  3. Step 3: Cross multiply
    277.79x = 383.71 × 213.09
  4. Step 4: Simplify right side
    277.79x = 81,765.30
  5. Step 5: Solve for x
    x = 81,765.30/277.79
  6. Step 6: Final answer
    x = 294.34

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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.