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Finding the Fourth Proportional to 274.68, 379.04 and 209.07

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Solution

The fourth proportional to 274.68, 379.04 and 209.07 is: 288.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.68 : 379.04 = 209.07 : x
  2. Step 2: Convert to fraction form
    274.68/379.04 = 209.07/x
  3. Step 3: Cross multiply
    274.68x = 379.04 × 209.07
  4. Step 4: Simplify right side
    274.68x = 79,245.63
  5. Step 5: Solve for x
    x = 79,245.63/274.68
  6. Step 6: Final answer
    x = 288.50

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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.