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Finding the Fourth Proportional to 383.16, 573.78 and 302.44

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Solution

The fourth proportional to 383.16, 573.78 and 302.44 is: 452.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.16 : 573.78 = 302.44 : x
  2. Step 2: Convert to fraction form
    383.16/573.78 = 302.44/x
  3. Step 3: Cross multiply
    383.16x = 573.78 × 302.44
  4. Step 4: Simplify right side
    383.16x = 173,534.02
  5. Step 5: Solve for x
    x = 173,534.02/383.16
  6. Step 6: Final answer
    x = 452.90

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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.