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Finding the Fourth Proportional to 383.40, 531.90 and 367.20

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Solution

The fourth proportional to 383.40, 531.90 and 367.20 is: 509.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.40 : 531.90 = 367.20 : x
  2. Step 2: Convert to fraction form
    383.40/531.90 = 367.20/x
  3. Step 3: Cross multiply
    383.40x = 531.90 × 367.20
  4. Step 4: Simplify right side
    383.40x = 195,313.68
  5. Step 5: Solve for x
    x = 195,313.68/383.40
  6. Step 6: Final answer
    x = 509.43

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.