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Finding the Fourth Proportional to 271.92, 375.36 and 209.72

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Solution

The fourth proportional to 271.92, 375.36 and 209.72 is: 289.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.92 : 375.36 = 209.72 : x
  2. Step 2: Convert to fraction form
    271.92/375.36 = 209.72/x
  3. Step 3: Cross multiply
    271.92x = 375.36 × 209.72
  4. Step 4: Simplify right side
    271.92x = 78,720.50
  5. Step 5: Solve for x
    x = 78,720.50/271.92
  6. Step 6: Final answer
    x = 289.50

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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.