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Finding the Fourth Proportional to 396.10, 591.68 and 293.59

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Solution

The fourth proportional to 396.10, 591.68 and 293.59 is: 438.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.10 : 591.68 = 293.59 : x
  2. Step 2: Convert to fraction form
    396.10/591.68 = 293.59/x
  3. Step 3: Cross multiply
    396.10x = 591.68 × 293.59
  4. Step 4: Simplify right side
    396.10x = 173,708.37
  5. Step 5: Solve for x
    x = 173,708.37/396.10
  6. Step 6: Final answer
    x = 438.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.