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Finding the Fourth Proportional to 390.69, 588.20 and 326.16

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Solution

The fourth proportional to 390.69, 588.20 and 326.16 is: 491.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.69 : 588.20 = 326.16 : x
  2. Step 2: Convert to fraction form
    390.69/588.20 = 326.16/x
  3. Step 3: Cross multiply
    390.69x = 588.20 × 326.16
  4. Step 4: Simplify right side
    390.69x = 191,845.68
  5. Step 5: Solve for x
    x = 191,845.68/390.69
  6. Step 6: Final answer
    x = 491.04

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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.