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Finding the Fourth Proportional to 274.61, 378.74 and 209.21

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Solution

The fourth proportional to 274.61, 378.74 and 209.21 is: 288.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.61 : 378.74 = 209.21 : x
  2. Step 2: Convert to fraction form
    274.61/378.74 = 209.21/x
  3. Step 3: Cross multiply
    274.61x = 378.74 × 209.21
  4. Step 4: Simplify right side
    274.61x = 79,234.82
  5. Step 5: Solve for x
    x = 79,234.82/274.61
  6. Step 6: Final answer
    x = 288.53

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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.