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Finding the Fourth Proportional to 396.45, 594.86 and 177.12

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Solution

The fourth proportional to 396.45, 594.86 and 177.12 is: 265.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.45 : 594.86 = 177.12 : x
  2. Step 2: Convert to fraction form
    396.45/594.86 = 177.12/x
  3. Step 3: Cross multiply
    396.45x = 594.86 × 177.12
  4. Step 4: Simplify right side
    396.45x = 105,360.72
  5. Step 5: Solve for x
    x = 105,360.72/396.45
  6. Step 6: Final answer
    x = 265.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.