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Finding the Fourth Proportional to 351.58, 524.84 and 327.28

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Solution

The fourth proportional to 351.58, 524.84 and 327.28 is: 488.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.58 : 524.84 = 327.28 : x
  2. Step 2: Convert to fraction form
    351.58/524.84 = 327.28/x
  3. Step 3: Cross multiply
    351.58x = 524.84 × 327.28
  4. Step 4: Simplify right side
    351.58x = 171,769.64
  5. Step 5: Solve for x
    x = 171,769.64/351.58
  6. Step 6: Final answer
    x = 488.56

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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.