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Finding the Fourth Proportional to 588.36, 811.90 and 326.36

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Solution

The fourth proportional to 588.36, 811.90 and 326.36 is: 450.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.36 : 811.90 = 326.36 : x
  2. Step 2: Convert to fraction form
    588.36/811.90 = 326.36/x
  3. Step 3: Cross multiply
    588.36x = 811.90 × 326.36
  4. Step 4: Simplify right side
    588.36x = 264,971.68
  5. Step 5: Solve for x
    x = 264,971.68/588.36
  6. Step 6: Final answer
    x = 450.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.