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Finding the Fourth Proportional to 383.81, 528.44 and 339.48

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Solution

The fourth proportional to 383.81, 528.44 and 339.48 is: 467.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.81 : 528.44 = 339.48 : x
  2. Step 2: Convert to fraction form
    383.81/528.44 = 339.48/x
  3. Step 3: Cross multiply
    383.81x = 528.44 × 339.48
  4. Step 4: Simplify right side
    383.81x = 179,393.11
  5. Step 5: Solve for x
    x = 179,393.11/383.81
  6. Step 6: Final answer
    x = 467.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.