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Finding the Fourth Proportional to 390.20, 587.97 and 323.22

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Solution

The fourth proportional to 390.20, 587.97 and 323.22 is: 487.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.20 : 587.97 = 323.22 : x
  2. Step 2: Convert to fraction form
    390.20/587.97 = 323.22/x
  3. Step 3: Cross multiply
    390.20x = 587.97 × 323.22
  4. Step 4: Simplify right side
    390.20x = 190,043.66
  5. Step 5: Solve for x
    x = 190,043.66/390.20
  6. Step 6: Final answer
    x = 487.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.