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Finding the Fourth Proportional to 327.02, 451.40 and 202.78

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Solution

The fourth proportional to 327.02, 451.40 and 202.78 is: 279.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.02 : 451.40 = 202.78 : x
  2. Step 2: Convert to fraction form
    327.02/451.40 = 202.78/x
  3. Step 3: Cross multiply
    327.02x = 451.40 × 202.78
  4. Step 4: Simplify right side
    327.02x = 91,534.89
  5. Step 5: Solve for x
    x = 91,534.89/327.02
  6. Step 6: Final answer
    x = 279.91

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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.