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Finding the Fourth Proportional to 481.78, 665.15 and 365.14

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Solution

The fourth proportional to 481.78, 665.15 and 365.14 is: 504.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.78 : 665.15 = 365.14 : x
  2. Step 2: Convert to fraction form
    481.78/665.15 = 365.14/x
  3. Step 3: Cross multiply
    481.78x = 665.15 × 365.14
  4. Step 4: Simplify right side
    481.78x = 242,871.88
  5. Step 5: Solve for x
    x = 242,871.88/481.78
  6. Step 6: Final answer
    x = 504.11

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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.