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Finding the Fourth Proportional to 265.78, 366.39 and 213.49

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Solution

The fourth proportional to 265.78, 366.39 and 213.49 is: 294.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.78 : 366.39 = 213.49 : x
  2. Step 2: Convert to fraction form
    265.78/366.39 = 213.49/x
  3. Step 3: Cross multiply
    265.78x = 366.39 × 213.49
  4. Step 4: Simplify right side
    265.78x = 78,220.60
  5. Step 5: Solve for x
    x = 78,220.60/265.78
  6. Step 6: Final answer
    x = 294.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.