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Finding the Fourth Proportional to 490.38, 677.12 and 316.02

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Solution

The fourth proportional to 490.38, 677.12 and 316.02 is: 436.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.38 : 677.12 = 316.02 : x
  2. Step 2: Convert to fraction form
    490.38/677.12 = 316.02/x
  3. Step 3: Cross multiply
    490.38x = 677.12 × 316.02
  4. Step 4: Simplify right side
    490.38x = 213,983.46
  5. Step 5: Solve for x
    x = 213,983.46/490.38
  6. Step 6: Final answer
    x = 436.36

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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.