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Finding the Fourth Proportional to 274.58, 379.02 and 245.42

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Solution

The fourth proportional to 274.58, 379.02 and 245.42 is: 338.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.58 : 379.02 = 245.42 : x
  2. Step 2: Convert to fraction form
    274.58/379.02 = 245.42/x
  3. Step 3: Cross multiply
    274.58x = 379.02 × 245.42
  4. Step 4: Simplify right side
    274.58x = 93,019.09
  5. Step 5: Solve for x
    x = 93,019.09/274.58
  6. Step 6: Final answer
    x = 338.77

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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.