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Finding the Fourth Proportional to 322.68, 486.58 and 319.16

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Solution

The fourth proportional to 322.68, 486.58 and 319.16 is: 481.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.68 : 486.58 = 319.16 : x
  2. Step 2: Convert to fraction form
    322.68/486.58 = 319.16/x
  3. Step 3: Cross multiply
    322.68x = 486.58 × 319.16
  4. Step 4: Simplify right side
    322.68x = 155,296.87
  5. Step 5: Solve for x
    x = 155,296.87/322.68
  6. Step 6: Final answer
    x = 481.27

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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.