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Finding the Fourth Proportional to 384.36, 528.96 and 367.96

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Solution

The fourth proportional to 384.36, 528.96 and 367.96 is: 506.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.36 : 528.96 = 367.96 : x
  2. Step 2: Convert to fraction form
    384.36/528.96 = 367.96/x
  3. Step 3: Cross multiply
    384.36x = 528.96 × 367.96
  4. Step 4: Simplify right side
    384.36x = 194,636.12
  5. Step 5: Solve for x
    x = 194,636.12/384.36
  6. Step 6: Final answer
    x = 506.39

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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.