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Finding the Fourth Proportional to 491.26, 678 and 294.88

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Solution

The fourth proportional to 491.26, 678 and 294.88 is: 406.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.26 : 678 = 294.88 : x
  2. Step 2: Convert to fraction form
    491.26/678 = 294.88/x
  3. Step 3: Cross multiply
    491.26x = 678 × 294.88
  4. Step 4: Simplify right side
    491.26x = 199,928.64
  5. Step 5: Solve for x
    x = 199,928.64/491.26
  6. Step 6: Final answer
    x = 406.97

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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.