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Finding the Fourth Proportional to 392.36, 587.32 and 209.30

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Solution

The fourth proportional to 392.36, 587.32 and 209.30 is: 313.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.36 : 587.32 = 209.30 : x
  2. Step 2: Convert to fraction form
    392.36/587.32 = 209.30/x
  3. Step 3: Cross multiply
    392.36x = 587.32 × 209.30
  4. Step 4: Simplify right side
    392.36x = 122,922.62
  5. Step 5: Solve for x
    x = 122,922.62/392.36
  6. Step 6: Final answer
    x = 313.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.