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Finding the Fourth Proportional to 383.97, 578.77 and 351.11

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Solution

The fourth proportional to 383.97, 578.77 and 351.11 is: 529.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.97 : 578.77 = 351.11 : x
  2. Step 2: Convert to fraction form
    383.97/578.77 = 351.11/x
  3. Step 3: Cross multiply
    383.97x = 578.77 × 351.11
  4. Step 4: Simplify right side
    383.97x = 203,210.24
  5. Step 5: Solve for x
    x = 203,210.24/383.97
  6. Step 6: Final answer
    x = 529.23

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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.