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Finding the Fourth Proportional to 390.90, 540.22 and 320.86

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Solution

The fourth proportional to 390.90, 540.22 and 320.86 is: 443.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.90 : 540.22 = 320.86 : x
  2. Step 2: Convert to fraction form
    390.90/540.22 = 320.86/x
  3. Step 3: Cross multiply
    390.90x = 540.22 × 320.86
  4. Step 4: Simplify right side
    390.90x = 173,334.99
  5. Step 5: Solve for x
    x = 173,334.99/390.90
  6. Step 6: Final answer
    x = 443.43

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