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Finding the Fourth Proportional to 213.78, 320.50 and 105.49

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Solution

The fourth proportional to 213.78, 320.50 and 105.49 is: 158.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.78 : 320.50 = 105.49 : x
  2. Step 2: Convert to fraction form
    213.78/320.50 = 105.49/x
  3. Step 3: Cross multiply
    213.78x = 320.50 × 105.49
  4. Step 4: Simplify right side
    213.78x = 33,809.55
  5. Step 5: Solve for x
    x = 33,809.55/213.78
  6. Step 6: Final answer
    x = 158.15

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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.