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Finding the Fourth Proportional to 396.84, 547.50 and 302.42

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Solution

The fourth proportional to 396.84, 547.50 and 302.42 is: 417.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.84 : 547.50 = 302.42 : x
  2. Step 2: Convert to fraction form
    396.84/547.50 = 302.42/x
  3. Step 3: Cross multiply
    396.84x = 547.50 × 302.42
  4. Step 4: Simplify right side
    396.84x = 165,574.95
  5. Step 5: Solve for x
    x = 165,574.95/396.84
  6. Step 6: Final answer
    x = 417.23

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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.