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Finding the Fourth Proportional to 396.64, 550.66 and 384.76

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Solution

The fourth proportional to 396.64, 550.66 and 384.76 is: 534.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.64 : 550.66 = 384.76 : x
  2. Step 2: Convert to fraction form
    396.64/550.66 = 384.76/x
  3. Step 3: Cross multiply
    396.64x = 550.66 × 384.76
  4. Step 4: Simplify right side
    396.64x = 211,871.94
  5. Step 5: Solve for x
    x = 211,871.94/396.64
  6. Step 6: Final answer
    x = 534.17

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.