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Finding the Fourth Proportional to 351.04, 523.42 and 346.78

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Solution

The fourth proportional to 351.04, 523.42 and 346.78 is: 517.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.04 : 523.42 = 346.78 : x
  2. Step 2: Convert to fraction form
    351.04/523.42 = 346.78/x
  3. Step 3: Cross multiply
    351.04x = 523.42 × 346.78
  4. Step 4: Simplify right side
    351.04x = 181,511.59
  5. Step 5: Solve for x
    x = 181,511.59/351.04
  6. Step 6: Final answer
    x = 517.07

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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.