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Finding the Fourth Proportional to 244.64, 367.20 and 107.78

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Solution

The fourth proportional to 244.64, 367.20 and 107.78 is: 161.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.64 : 367.20 = 107.78 : x
  2. Step 2: Convert to fraction form
    244.64/367.20 = 107.78/x
  3. Step 3: Cross multiply
    244.64x = 367.20 × 107.78
  4. Step 4: Simplify right side
    244.64x = 39,574.98
  5. Step 5: Solve for x
    x = 39,574.98/244.64
  6. Step 6: Final answer
    x = 161.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.