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Finding the Fourth Proportional to 383.60, 527.33 and 330.23

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Solution

The fourth proportional to 383.60, 527.33 and 330.23 is: 453.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.60 : 527.33 = 330.23 : x
  2. Step 2: Convert to fraction form
    383.60/527.33 = 330.23/x
  3. Step 3: Cross multiply
    383.60x = 527.33 × 330.23
  4. Step 4: Simplify right side
    383.60x = 174,135.90
  5. Step 5: Solve for x
    x = 174,135.90/383.60
  6. Step 6: Final answer
    x = 453.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.