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Finding the Fourth Proportional to 396.74, 546.76 and 317.90

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Solution

The fourth proportional to 396.74, 546.76 and 317.90 is: 438.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.74 : 546.76 = 317.90 : x
  2. Step 2: Convert to fraction form
    396.74/546.76 = 317.90/x
  3. Step 3: Cross multiply
    396.74x = 546.76 × 317.90
  4. Step 4: Simplify right side
    396.74x = 173,815.00
  5. Step 5: Solve for x
    x = 173,815.00/396.74
  6. Step 6: Final answer
    x = 438.11

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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.