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Finding the Fourth Proportional to 271.17, 404.82 and 253.22

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Solution

The fourth proportional to 271.17, 404.82 and 253.22 is: 378.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.17 : 404.82 = 253.22 : x
  2. Step 2: Convert to fraction form
    271.17/404.82 = 253.22/x
  3. Step 3: Cross multiply
    271.17x = 404.82 × 253.22
  4. Step 4: Simplify right side
    271.17x = 102,506.50
  5. Step 5: Solve for x
    x = 102,506.50/271.17
  6. Step 6: Final answer
    x = 378.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.