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Finding the Fourth Proportional to 383.59, 573.87 and 296.26

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Solution

The fourth proportional to 383.59, 573.87 and 296.26 is: 443.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.59 : 573.87 = 296.26 : x
  2. Step 2: Convert to fraction form
    383.59/573.87 = 296.26/x
  3. Step 3: Cross multiply
    383.59x = 573.87 × 296.26
  4. Step 4: Simplify right side
    383.59x = 170,014.40
  5. Step 5: Solve for x
    x = 170,014.40/383.59
  6. Step 6: Final answer
    x = 443.22

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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.