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Finding the Fourth Proportional to 271.44, 375.12 and 218.88

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Solution

The fourth proportional to 271.44, 375.12 and 218.88 is: 302.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.44 : 375.12 = 218.88 : x
  2. Step 2: Convert to fraction form
    271.44/375.12 = 218.88/x
  3. Step 3: Cross multiply
    271.44x = 375.12 × 218.88
  4. Step 4: Simplify right side
    271.44x = 82,106.27
  5. Step 5: Solve for x
    x = 82,106.27/271.44
  6. Step 6: Final answer
    x = 302.48

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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.