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Finding the Fourth Proportional to 396.56, 546.62 and 312.40

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Solution

The fourth proportional to 396.56, 546.62 and 312.40 is: 430.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.56 : 546.62 = 312.40 : x
  2. Step 2: Convert to fraction form
    396.56/546.62 = 312.40/x
  3. Step 3: Cross multiply
    396.56x = 546.62 × 312.40
  4. Step 4: Simplify right side
    396.56x = 170,763.48
  5. Step 5: Solve for x
    x = 170,763.48/396.56
  6. Step 6: Final answer
    x = 430.61

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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.