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Finding the Fourth Proportional to 327.80, 487.56 and 298.58

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Solution

The fourth proportional to 327.80, 487.56 and 298.58 is: 444.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.80 : 487.56 = 298.58 : x
  2. Step 2: Convert to fraction form
    327.80/487.56 = 298.58/x
  3. Step 3: Cross multiply
    327.80x = 487.56 × 298.58
  4. Step 4: Simplify right side
    327.80x = 145,573.23
  5. Step 5: Solve for x
    x = 145,573.23/327.80
  6. Step 6: Final answer
    x = 444.10

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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.