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Finding the Fourth Proportional to 321.59, 441.14 and 302.96

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Solution

The fourth proportional to 321.59, 441.14 and 302.96 is: 415.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.59 : 441.14 = 302.96 : x
  2. Step 2: Convert to fraction form
    321.59/441.14 = 302.96/x
  3. Step 3: Cross multiply
    321.59x = 441.14 × 302.96
  4. Step 4: Simplify right side
    321.59x = 133,649.07
  5. Step 5: Solve for x
    x = 133,649.07/321.59
  6. Step 6: Final answer
    x = 415.59

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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.