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Finding the Fourth Proportional to 396, 590.40 and 371.52

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Solution

The fourth proportional to 396, 590.40 and 371.52 is: 553.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    396 : 590.40 = 371.52 : x
  2. Step 2: Convert to fraction form
    396/590.40 = 371.52/x
  3. Step 3: Cross multiply
    396x = 590.40 × 371.52
  4. Step 4: Simplify right side
    396x = 219,345.41
  5. Step 5: Solve for x
    x = 219,345.41/396
  6. Step 6: Final answer
    x = 553.90

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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.