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Finding the Fourth Proportional to 213.70, 320.54 and 208.54

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Solution

The fourth proportional to 213.70, 320.54 and 208.54 is: 312.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.70 : 320.54 = 208.54 : x
  2. Step 2: Convert to fraction form
    213.70/320.54 = 208.54/x
  3. Step 3: Cross multiply
    213.70x = 320.54 × 208.54
  4. Step 4: Simplify right side
    213.70x = 66,845.41
  5. Step 5: Solve for x
    x = 66,845.41/213.70
  6. Step 6: Final answer
    x = 312.80

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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.