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Finding the Fourth Proportional to 321.72, 441.39 and 313.56

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Solution

The fourth proportional to 321.72, 441.39 and 313.56 is: 430.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.72 : 441.39 = 313.56 : x
  2. Step 2: Convert to fraction form
    321.72/441.39 = 313.56/x
  3. Step 3: Cross multiply
    321.72x = 441.39 × 313.56
  4. Step 4: Simplify right side
    321.72x = 138,402.25
  5. Step 5: Solve for x
    x = 138,402.25/321.72
  6. Step 6: Final answer
    x = 430.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.