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Finding the Fourth Proportional to 396.16, 590.78 and 377.53

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Solution

The fourth proportional to 396.16, 590.78 and 377.53 is: 563.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.16 : 590.78 = 377.53 : x
  2. Step 2: Convert to fraction form
    396.16/590.78 = 377.53/x
  3. Step 3: Cross multiply
    396.16x = 590.78 × 377.53
  4. Step 4: Simplify right side
    396.16x = 223,037.17
  5. Step 5: Solve for x
    x = 223,037.17/396.16
  6. Step 6: Final answer
    x = 563.00

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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.