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Finding the Fourth Proportional to 327.75, 449.02 and 315.45

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Solution

The fourth proportional to 327.75, 449.02 and 315.45 is: 432.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.75 : 449.02 = 315.45 : x
  2. Step 2: Convert to fraction form
    327.75/449.02 = 315.45/x
  3. Step 3: Cross multiply
    327.75x = 449.02 × 315.45
  4. Step 4: Simplify right side
    327.75x = 141,643.36
  5. Step 5: Solve for x
    x = 141,643.36/327.75
  6. Step 6: Final answer
    x = 432.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.