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Finding the Fourth Proportional to 254.21, 350.78 and 180.50

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Solution

The fourth proportional to 254.21, 350.78 and 180.50 is: 249.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.21 : 350.78 = 180.50 : x
  2. Step 2: Convert to fraction form
    254.21/350.78 = 180.50/x
  3. Step 3: Cross multiply
    254.21x = 350.78 × 180.50
  4. Step 4: Simplify right side
    254.21x = 63,314.01
  5. Step 5: Solve for x
    x = 63,314.01/254.21
  6. Step 6: Final answer
    x = 249.06

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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.