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Finding the Fourth Proportional to 396.48, 591.86 and 315.20

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Solution

The fourth proportional to 396.48, 591.86 and 315.20 is: 470.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.48 : 591.86 = 315.20 : x
  2. Step 2: Convert to fraction form
    396.48/591.86 = 315.20/x
  3. Step 3: Cross multiply
    396.48x = 591.86 × 315.20
  4. Step 4: Simplify right side
    396.48x = 186,554.27
  5. Step 5: Solve for x
    x = 186,554.27/396.48
  6. Step 6: Final answer
    x = 470.53

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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.