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Finding the Fourth Proportional to 327.14, 487.88 and 278.70

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Solution

The fourth proportional to 327.14, 487.88 and 278.70 is: 415.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.14 : 487.88 = 278.70 : x
  2. Step 2: Convert to fraction form
    327.14/487.88 = 278.70/x
  3. Step 3: Cross multiply
    327.14x = 487.88 × 278.70
  4. Step 4: Simplify right side
    327.14x = 135,972.16
  5. Step 5: Solve for x
    x = 135,972.16/327.14
  6. Step 6: Final answer
    x = 415.64

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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.