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Finding the Fourth Proportional to 383.92, 575.26 and 372.58

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Solution

The fourth proportional to 383.92, 575.26 and 372.58 is: 558.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.92 : 575.26 = 372.58 : x
  2. Step 2: Convert to fraction form
    383.92/575.26 = 372.58/x
  3. Step 3: Cross multiply
    383.92x = 575.26 × 372.58
  4. Step 4: Simplify right side
    383.92x = 214,330.37
  5. Step 5: Solve for x
    x = 214,330.37/383.92
  6. Step 6: Final answer
    x = 558.27

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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.