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Finding the Fourth Proportional to 271.55, 406.87 and 202.45

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Solution

The fourth proportional to 271.55, 406.87 and 202.45 is: 303.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.55 : 406.87 = 202.45 : x
  2. Step 2: Convert to fraction form
    271.55/406.87 = 202.45/x
  3. Step 3: Cross multiply
    271.55x = 406.87 × 202.45
  4. Step 4: Simplify right side
    271.55x = 82,371.21
  5. Step 5: Solve for x
    x = 82,371.21/271.55
  6. Step 6: Final answer
    x = 303.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.