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Finding the Fourth Proportional to 322.07, 441.56 and 316.22

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Solution

The fourth proportional to 322.07, 441.56 and 316.22 is: 433.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.07 : 441.56 = 316.22 : x
  2. Step 2: Convert to fraction form
    322.07/441.56 = 316.22/x
  3. Step 3: Cross multiply
    322.07x = 441.56 × 316.22
  4. Step 4: Simplify right side
    322.07x = 139,629.63
  5. Step 5: Solve for x
    x = 139,629.63/322.07
  6. Step 6: Final answer
    x = 433.54

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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.