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Finding the Fourth Proportional to 499.54, 749.40 and 211

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Solution

The fourth proportional to 499.54, 749.40 and 211 is: 316.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.54 : 749.40 = 211 : x
  2. Step 2: Convert to fraction form
    499.54/749.40 = 211/x
  3. Step 3: Cross multiply
    499.54x = 749.40 × 211
  4. Step 4: Simplify right side
    499.54x = 158,123.40
  5. Step 5: Solve for x
    x = 158,123.40/499.54
  6. Step 6: Final answer
    x = 316.54

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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.