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Finding the Fourth Proportional to 327.76, 491.62 and 256.48

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Solution

The fourth proportional to 327.76, 491.62 and 256.48 is: 384.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.76 : 491.62 = 256.48 : x
  2. Step 2: Convert to fraction form
    327.76/491.62 = 256.48/x
  3. Step 3: Cross multiply
    327.76x = 491.62 × 256.48
  4. Step 4: Simplify right side
    327.76x = 126,090.70
  5. Step 5: Solve for x
    x = 126,090.70/327.76
  6. Step 6: Final answer
    x = 384.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.