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Finding the Fourth Proportional to 383.34, 575.21 and 259.89

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Solution

The fourth proportional to 383.34, 575.21 and 259.89 is: 389.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.34 : 575.21 = 259.89 : x
  2. Step 2: Convert to fraction form
    383.34/575.21 = 259.89/x
  3. Step 3: Cross multiply
    383.34x = 575.21 × 259.89
  4. Step 4: Simplify right side
    383.34x = 149,491.33
  5. Step 5: Solve for x
    x = 149,491.33/383.34
  6. Step 6: Final answer
    x = 389.97

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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.