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Finding the Fourth Proportional to 383.05, 576.66 and 262.07

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Solution

The fourth proportional to 383.05, 576.66 and 262.07 is: 394.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.05 : 576.66 = 262.07 : x
  2. Step 2: Convert to fraction form
    383.05/576.66 = 262.07/x
  3. Step 3: Cross multiply
    383.05x = 576.66 × 262.07
  4. Step 4: Simplify right side
    383.05x = 151,125.29
  5. Step 5: Solve for x
    x = 151,125.29/383.05
  6. Step 6: Final answer
    x = 394.54

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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.