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Finding the Fourth Proportional to 389.07, 584.03 and 206.41

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Solution

The fourth proportional to 389.07, 584.03 and 206.41 is: 309.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.07 : 584.03 = 206.41 : x
  2. Step 2: Convert to fraction form
    389.07/584.03 = 206.41/x
  3. Step 3: Cross multiply
    389.07x = 584.03 × 206.41
  4. Step 4: Simplify right side
    389.07x = 120,549.63
  5. Step 5: Solve for x
    x = 120,549.63/389.07
  6. Step 6: Final answer
    x = 309.84

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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.