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Finding the Fourth Proportional to 327.90, 488.35 and 324.12

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Solution

The fourth proportional to 327.90, 488.35 and 324.12 is: 482.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.90 : 488.35 = 324.12 : x
  2. Step 2: Convert to fraction form
    327.90/488.35 = 324.12/x
  3. Step 3: Cross multiply
    327.90x = 488.35 × 324.12
  4. Step 4: Simplify right side
    327.90x = 158,284.00
  5. Step 5: Solve for x
    x = 158,284.00/327.90
  6. Step 6: Final answer
    x = 482.72

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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.