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Finding the Fourth Proportional to 376.08, 518.79 and 314.22

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Solution

The fourth proportional to 376.08, 518.79 and 314.22 is: 433.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.08 : 518.79 = 314.22 : x
  2. Step 2: Convert to fraction form
    376.08/518.79 = 314.22/x
  3. Step 3: Cross multiply
    376.08x = 518.79 × 314.22
  4. Step 4: Simplify right side
    376.08x = 163,014.19
  5. Step 5: Solve for x
    x = 163,014.19/376.08
  6. Step 6: Final answer
    x = 433.46

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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.