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Finding the Fourth Proportional to 375.36, 564.36 and 327.58

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Solution

The fourth proportional to 375.36, 564.36 and 327.58 is: 492.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.36 : 564.36 = 327.58 : x
  2. Step 2: Convert to fraction form
    375.36/564.36 = 327.58/x
  3. Step 3: Cross multiply
    375.36x = 564.36 × 327.58
  4. Step 4: Simplify right side
    375.36x = 184,873.05
  5. Step 5: Solve for x
    x = 184,873.05/375.36
  6. Step 6: Final answer
    x = 492.52

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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.