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Finding the Fourth Proportional to 254.39, 350.86 and 180.59

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Solution

The fourth proportional to 254.39, 350.86 and 180.59 is: 249.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.39 : 350.86 = 180.59 : x
  2. Step 2: Convert to fraction form
    254.39/350.86 = 180.59/x
  3. Step 3: Cross multiply
    254.39x = 350.86 × 180.59
  4. Step 4: Simplify right side
    254.39x = 63,361.81
  5. Step 5: Solve for x
    x = 63,361.81/254.39
  6. Step 6: Final answer
    x = 249.07

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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.