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Finding the Fourth Proportional to 396.23, 591.47 and 347.63

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Solution

The fourth proportional to 396.23, 591.47 and 347.63 is: 518.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.23 : 591.47 = 347.63 : x
  2. Step 2: Convert to fraction form
    396.23/591.47 = 347.63/x
  3. Step 3: Cross multiply
    396.23x = 591.47 × 347.63
  4. Step 4: Simplify right side
    396.23x = 205,611.28
  5. Step 5: Solve for x
    x = 205,611.28/396.23
  6. Step 6: Final answer
    x = 518.93

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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.