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Finding the Fourth Proportional to 265.70, 396.88 and 211.44

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Solution

The fourth proportional to 265.70, 396.88 and 211.44 is: 315.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.70 : 396.88 = 211.44 : x
  2. Step 2: Convert to fraction form
    265.70/396.88 = 211.44/x
  3. Step 3: Cross multiply
    265.70x = 396.88 × 211.44
  4. Step 4: Simplify right side
    265.70x = 83,916.31
  5. Step 5: Solve for x
    x = 83,916.31/265.70
  6. Step 6: Final answer
    x = 315.83

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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.