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Finding the Fourth Proportional to 396.40, 546.25 and 303.25

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Solution

The fourth proportional to 396.40, 546.25 and 303.25 is: 417.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.40 : 546.25 = 303.25 : x
  2. Step 2: Convert to fraction form
    396.40/546.25 = 303.25/x
  3. Step 3: Cross multiply
    396.40x = 546.25 × 303.25
  4. Step 4: Simplify right side
    396.40x = 165,646.07
  5. Step 5: Solve for x
    x = 165,646.07/396.40
  6. Step 6: Final answer
    x = 417.88

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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.