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Finding the Fourth Proportional to 491.27, 677.78 and 304.57

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Solution

The fourth proportional to 491.27, 677.78 and 304.57 is: 420.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.27 : 677.78 = 304.57 : x
  2. Step 2: Convert to fraction form
    491.27/677.78 = 304.57/x
  3. Step 3: Cross multiply
    491.27x = 677.78 × 304.57
  4. Step 4: Simplify right side
    491.27x = 206,431.45
  5. Step 5: Solve for x
    x = 206,431.45/491.27
  6. Step 6: Final answer
    x = 420.20

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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.