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Finding the Fourth Proportional to 351.41, 523.07 and 346.21

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Solution

The fourth proportional to 351.41, 523.07 and 346.21 is: 515.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.41 : 523.07 = 346.21 : x
  2. Step 2: Convert to fraction form
    351.41/523.07 = 346.21/x
  3. Step 3: Cross multiply
    351.41x = 523.07 × 346.21
  4. Step 4: Simplify right side
    351.41x = 181,090.32
  5. Step 5: Solve for x
    x = 181,090.32/351.41
  6. Step 6: Final answer
    x = 515.33

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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.