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Finding the Fourth Proportional to 299.01, 412.76 and 205.72

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Solution

The fourth proportional to 299.01, 412.76 and 205.72 is: 283.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.01 : 412.76 = 205.72 : x
  2. Step 2: Convert to fraction form
    299.01/412.76 = 205.72/x
  3. Step 3: Cross multiply
    299.01x = 412.76 × 205.72
  4. Step 4: Simplify right side
    299.01x = 84,912.99
  5. Step 5: Solve for x
    x = 84,912.99/299.01
  6. Step 6: Final answer
    x = 283.98

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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.