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Finding the Fourth Proportional to 421.06, 580.77 and 254.99

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Solution

The fourth proportional to 421.06, 580.77 and 254.99 is: 351.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.06 : 580.77 = 254.99 : x
  2. Step 2: Convert to fraction form
    421.06/580.77 = 254.99/x
  3. Step 3: Cross multiply
    421.06x = 580.77 × 254.99
  4. Step 4: Simplify right side
    421.06x = 148,090.54
  5. Step 5: Solve for x
    x = 148,090.54/421.06
  6. Step 6: Final answer
    x = 351.71

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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.