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Finding the Fourth Proportional to 490.98, 677.19 and 316.02

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Solution

The fourth proportional to 490.98, 677.19 and 316.02 is: 435.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.98 : 677.19 = 316.02 : x
  2. Step 2: Convert to fraction form
    490.98/677.19 = 316.02/x
  3. Step 3: Cross multiply
    490.98x = 677.19 × 316.02
  4. Step 4: Simplify right side
    490.98x = 214,005.58
  5. Step 5: Solve for x
    x = 214,005.58/490.98
  6. Step 6: Final answer
    x = 435.87

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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.