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Finding the Fourth Proportional to 260.76, 389.10 and 254.59

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Solution

The fourth proportional to 260.76, 389.10 and 254.59 is: 379.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.76 : 389.10 = 254.59 : x
  2. Step 2: Convert to fraction form
    260.76/389.10 = 254.59/x
  3. Step 3: Cross multiply
    260.76x = 389.10 × 254.59
  4. Step 4: Simplify right side
    260.76x = 99,060.63
  5. Step 5: Solve for x
    x = 99,060.63/260.76
  6. Step 6: Final answer
    x = 379.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.