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Finding the Fourth Proportional to 490.93, 677.47 and 266.86

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Solution

The fourth proportional to 490.93, 677.47 and 266.86 is: 368.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.93 : 677.47 = 266.86 : x
  2. Step 2: Convert to fraction form
    490.93/677.47 = 266.86/x
  3. Step 3: Cross multiply
    490.93x = 677.47 × 266.86
  4. Step 4: Simplify right side
    490.93x = 180,789.64
  5. Step 5: Solve for x
    x = 180,789.64/490.93
  6. Step 6: Final answer
    x = 368.26

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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.