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Finding the Fourth Proportional to 396.64, 540.10 and 390.94

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Solution

The fourth proportional to 396.64, 540.10 and 390.94 is: 532.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.64 : 540.10 = 390.94 : x
  2. Step 2: Convert to fraction form
    396.64/540.10 = 390.94/x
  3. Step 3: Cross multiply
    396.64x = 540.10 × 390.94
  4. Step 4: Simplify right side
    396.64x = 211,146.69
  5. Step 5: Solve for x
    x = 211,146.69/396.64
  6. Step 6: Final answer
    x = 532.34

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.