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Finding the Fourth Proportional to 383.19, 576.83 and 343.50

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Solution

The fourth proportional to 383.19, 576.83 and 343.50 is: 517.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.19 : 576.83 = 343.50 : x
  2. Step 2: Convert to fraction form
    383.19/576.83 = 343.50/x
  3. Step 3: Cross multiply
    383.19x = 576.83 × 343.50
  4. Step 4: Simplify right side
    383.19x = 198,139.39
  5. Step 5: Solve for x
    x = 198,139.39/383.19
  6. Step 6: Final answer
    x = 517.08

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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.