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Finding the Fourth Proportional to 490.88, 677.40 and 269.83

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Solution

The fourth proportional to 490.88, 677.40 and 269.83 is: 372.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.88 : 677.40 = 269.83 : x
  2. Step 2: Convert to fraction form
    490.88/677.40 = 269.83/x
  3. Step 3: Cross multiply
    490.88x = 677.40 × 269.83
  4. Step 4: Simplify right side
    490.88x = 182,779.46
  5. Step 5: Solve for x
    x = 182,779.46/490.88
  6. Step 6: Final answer
    x = 372.35

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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.