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Finding the Fourth Proportional to 376.72, 518.72 and 318.40

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Solution

The fourth proportional to 376.72, 518.72 and 318.40 is: 438.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.72 : 518.72 = 318.40 : x
  2. Step 2: Convert to fraction form
    376.72/518.72 = 318.40/x
  3. Step 3: Cross multiply
    376.72x = 518.72 × 318.40
  4. Step 4: Simplify right side
    376.72x = 165,160.45
  5. Step 5: Solve for x
    x = 165,160.45/376.72
  6. Step 6: Final answer
    x = 438.42

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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.