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Finding the Fourth Proportional to 318.45, 477.56 and 120.75

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Solution

The fourth proportional to 318.45, 477.56 and 120.75 is: 181.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.45 : 477.56 = 120.75 : x
  2. Step 2: Convert to fraction form
    318.45/477.56 = 120.75/x
  3. Step 3: Cross multiply
    318.45x = 477.56 × 120.75
  4. Step 4: Simplify right side
    318.45x = 57,662.98
  5. Step 5: Solve for x
    x = 57,662.98/318.45
  6. Step 6: Final answer
    x = 181.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.