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Finding the Fourth Proportional to 382.98, 577.05 and 319.38

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Solution

The fourth proportional to 382.98, 577.05 and 319.38 is: 481.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.98 : 577.05 = 319.38 : x
  2. Step 2: Convert to fraction form
    382.98/577.05 = 319.38/x
  3. Step 3: Cross multiply
    382.98x = 577.05 × 319.38
  4. Step 4: Simplify right side
    382.98x = 184,298.23
  5. Step 5: Solve for x
    x = 184,298.23/382.98
  6. Step 6: Final answer
    x = 481.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.