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Finding the Fourth Proportional to 393.06, 588.20 and 342.26

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Solution

The fourth proportional to 393.06, 588.20 and 342.26 is: 512.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.06 : 588.20 = 342.26 : x
  2. Step 2: Convert to fraction form
    393.06/588.20 = 342.26/x
  3. Step 3: Cross multiply
    393.06x = 588.20 × 342.26
  4. Step 4: Simplify right side
    393.06x = 201,317.33
  5. Step 5: Solve for x
    x = 201,317.33/393.06
  6. Step 6: Final answer
    x = 512.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.