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Finding the Fourth Proportional to 391.75, 586.95 and 206.38

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Solution

The fourth proportional to 391.75, 586.95 and 206.38 is: 309.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.75 : 586.95 = 206.38 : x
  2. Step 2: Convert to fraction form
    391.75/586.95 = 206.38/x
  3. Step 3: Cross multiply
    391.75x = 586.95 × 206.38
  4. Step 4: Simplify right side
    391.75x = 121,134.74
  5. Step 5: Solve for x
    x = 121,134.74/391.75
  6. Step 6: Final answer
    x = 309.21

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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.