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Finding the Fourth Proportional to 271.90, 409.45 and 228.94

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Solution

The fourth proportional to 271.90, 409.45 and 228.94 is: 344.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.90 : 409.45 = 228.94 : x
  2. Step 2: Convert to fraction form
    271.90/409.45 = 228.94/x
  3. Step 3: Cross multiply
    271.90x = 409.45 × 228.94
  4. Step 4: Simplify right side
    271.90x = 93,739.48
  5. Step 5: Solve for x
    x = 93,739.48/271.90
  6. Step 6: Final answer
    x = 344.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.