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Finding the Fourth Proportional to 383.24, 574.86 and 109.33

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Solution

The fourth proportional to 383.24, 574.86 and 109.33 is: 163.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.24 : 574.86 = 109.33 : x
  2. Step 2: Convert to fraction form
    383.24/574.86 = 109.33/x
  3. Step 3: Cross multiply
    383.24x = 574.86 × 109.33
  4. Step 4: Simplify right side
    383.24x = 62,848.01
  5. Step 5: Solve for x
    x = 62,848.01/383.24
  6. Step 6: Final answer
    x = 163.99

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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.