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Finding the Fourth Proportional to 351.78, 525.09 and 326.40

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Solution

The fourth proportional to 351.78, 525.09 and 326.40 is: 487.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.78 : 525.09 = 326.40 : x
  2. Step 2: Convert to fraction form
    351.78/525.09 = 326.40/x
  3. Step 3: Cross multiply
    351.78x = 525.09 × 326.40
  4. Step 4: Simplify right side
    351.78x = 171,389.38
  5. Step 5: Solve for x
    x = 171,389.38/351.78
  6. Step 6: Final answer
    x = 487.21

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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.