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Finding the Fourth Proportional to 383.69, 578.23 and 345.22

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Solution

The fourth proportional to 383.69, 578.23 and 345.22 is: 520.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.69 : 578.23 = 345.22 : x
  2. Step 2: Convert to fraction form
    383.69/578.23 = 345.22/x
  3. Step 3: Cross multiply
    383.69x = 578.23 × 345.22
  4. Step 4: Simplify right side
    383.69x = 199,614.25
  5. Step 5: Solve for x
    x = 199,614.25/383.69
  6. Step 6: Final answer
    x = 520.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.