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Finding the Fourth Proportional to 327.74, 491.20 and 259.40

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Solution

The fourth proportional to 327.74, 491.20 and 259.40 is: 388.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.74 : 491.20 = 259.40 : x
  2. Step 2: Convert to fraction form
    327.74/491.20 = 259.40/x
  3. Step 3: Cross multiply
    327.74x = 491.20 × 259.40
  4. Step 4: Simplify right side
    327.74x = 127,417.28
  5. Step 5: Solve for x
    x = 127,417.28/327.74
  6. Step 6: Final answer
    x = 388.78

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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.