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Finding the Fourth Proportional to 438, 604.56 and 327.36

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Solution

The fourth proportional to 438, 604.56 and 327.36 is: 451.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    438 : 604.56 = 327.36 : x
  2. Step 2: Convert to fraction form
    438/604.56 = 327.36/x
  3. Step 3: Cross multiply
    438x = 604.56 × 327.36
  4. Step 4: Simplify right side
    438x = 197,908.76
  5. Step 5: Solve for x
    x = 197,908.76/438
  6. Step 6: Final answer
    x = 451.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.