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Finding the Fourth Proportional to 326.75, 486.93 and 319.82

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Solution

The fourth proportional to 326.75, 486.93 and 319.82 is: 476.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.75 : 486.93 = 319.82 : x
  2. Step 2: Convert to fraction form
    326.75/486.93 = 319.82/x
  3. Step 3: Cross multiply
    326.75x = 486.93 × 319.82
  4. Step 4: Simplify right side
    326.75x = 155,727.52
  5. Step 5: Solve for x
    x = 155,727.52/326.75
  6. Step 6: Final answer
    x = 476.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.