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Finding the Fourth Proportional to 389.12, 583.49 and 206.46

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Solution

The fourth proportional to 389.12, 583.49 and 206.46 is: 309.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.12 : 583.49 = 206.46 : x
  2. Step 2: Convert to fraction form
    389.12/583.49 = 206.46/x
  3. Step 3: Cross multiply
    389.12x = 583.49 × 206.46
  4. Step 4: Simplify right side
    389.12x = 120,466.31
  5. Step 5: Solve for x
    x = 120,466.31/389.12
  6. Step 6: Final answer
    x = 309.59

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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.