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Finding the Fourth Proportional to 396.18, 594.39 and 176.77

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Solution

The fourth proportional to 396.18, 594.39 and 176.77 is: 265.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.18 : 594.39 = 176.77 : x
  2. Step 2: Convert to fraction form
    396.18/594.39 = 176.77/x
  3. Step 3: Cross multiply
    396.18x = 594.39 × 176.77
  4. Step 4: Simplify right side
    396.18x = 105,071.73
  5. Step 5: Solve for x
    x = 105,071.73/396.18
  6. Step 6: Final answer
    x = 265.21

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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.