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Finding the Fourth Proportional to 383.73, 529.65 and 321.45

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Solution

The fourth proportional to 383.73, 529.65 and 321.45 is: 443.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.73 : 529.65 = 321.45 : x
  2. Step 2: Convert to fraction form
    383.73/529.65 = 321.45/x
  3. Step 3: Cross multiply
    383.73x = 529.65 × 321.45
  4. Step 4: Simplify right side
    383.73x = 170,255.99
  5. Step 5: Solve for x
    x = 170,255.99/383.73
  6. Step 6: Final answer
    x = 443.69

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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.