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Finding the Fourth Proportional to 271.47, 404.94 and 228.41

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Solution

The fourth proportional to 271.47, 404.94 and 228.41 is: 340.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.47 : 404.94 = 228.41 : x
  2. Step 2: Convert to fraction form
    271.47/404.94 = 228.41/x
  3. Step 3: Cross multiply
    271.47x = 404.94 × 228.41
  4. Step 4: Simplify right side
    271.47x = 92,490.32
  5. Step 5: Solve for x
    x = 92,490.32/271.47
  6. Step 6: Final answer
    x = 340.70

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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.