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Finding the Fourth Proportional to 491.02, 677.39 and 301.90

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Solution

The fourth proportional to 491.02, 677.39 and 301.90 is: 416.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.02 : 677.39 = 301.90 : x
  2. Step 2: Convert to fraction form
    491.02/677.39 = 301.90/x
  3. Step 3: Cross multiply
    491.02x = 677.39 × 301.90
  4. Step 4: Simplify right side
    491.02x = 204,504.04
  5. Step 5: Solve for x
    x = 204,504.04/491.02
  6. Step 6: Final answer
    x = 416.49

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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.