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Finding the Fourth Proportional to 271.76, 374.77 and 209.49

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Solution

The fourth proportional to 271.76, 374.77 and 209.49 is: 288.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.76 : 374.77 = 209.49 : x
  2. Step 2: Convert to fraction form
    271.76/374.77 = 209.49/x
  3. Step 3: Cross multiply
    271.76x = 374.77 × 209.49
  4. Step 4: Simplify right side
    271.76x = 78,510.48
  5. Step 5: Solve for x
    x = 78,510.48/271.76
  6. Step 6: Final answer
    x = 288.90

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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.