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Finding the Fourth Proportional to 274.86, 379.89 and 245.16

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Solution

The fourth proportional to 274.86, 379.89 and 245.16 is: 338.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.86 : 379.89 = 245.16 : x
  2. Step 2: Convert to fraction form
    274.86/379.89 = 245.16/x
  3. Step 3: Cross multiply
    274.86x = 379.89 × 245.16
  4. Step 4: Simplify right side
    274.86x = 93,133.83
  5. Step 5: Solve for x
    x = 93,133.83/274.86
  6. Step 6: Final answer
    x = 338.84

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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.