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Finding the Fourth Proportional to 396.84, 547.53 and 228.79

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Solution

The fourth proportional to 396.84, 547.53 and 228.79 is: 315.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.84 : 547.53 = 228.79 : x
  2. Step 2: Convert to fraction form
    396.84/547.53 = 228.79/x
  3. Step 3: Cross multiply
    396.84x = 547.53 × 228.79
  4. Step 4: Simplify right side
    396.84x = 125,266.65
  5. Step 5: Solve for x
    x = 125,266.65/396.84
  6. Step 6: Final answer
    x = 315.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.