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Finding the Fourth Proportional to 490.76, 676.96 and 294.16

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Solution

The fourth proportional to 490.76, 676.96 and 294.16 is: 405.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.76 : 676.96 = 294.16 : x
  2. Step 2: Convert to fraction form
    490.76/676.96 = 294.16/x
  3. Step 3: Cross multiply
    490.76x = 676.96 × 294.16
  4. Step 4: Simplify right side
    490.76x = 199,131.17
  5. Step 5: Solve for x
    x = 199,131.17/490.76
  6. Step 6: Final answer
    x = 405.76

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Find fourth proportional to 245.38, 338.48 and 147.08
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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.