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Finding the Fourth Proportional to 299.81, 450.39 and 258.81

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Solution

The fourth proportional to 299.81, 450.39 and 258.81 is: 388.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.81 : 450.39 = 258.81 : x
  2. Step 2: Convert to fraction form
    299.81/450.39 = 258.81/x
  3. Step 3: Cross multiply
    299.81x = 450.39 × 258.81
  4. Step 4: Simplify right side
    299.81x = 116,565.44
  5. Step 5: Solve for x
    x = 116,565.44/299.81
  6. Step 6: Final answer
    x = 388.80

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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.