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Finding the Fourth Proportional to 254.06, 380.77 and 167.56

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Solution

The fourth proportional to 254.06, 380.77 and 167.56 is: 251.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.06 : 380.77 = 167.56 : x
  2. Step 2: Convert to fraction form
    254.06/380.77 = 167.56/x
  3. Step 3: Cross multiply
    254.06x = 380.77 × 167.56
  4. Step 4: Simplify right side
    254.06x = 63,800.45
  5. Step 5: Solve for x
    x = 63,800.45/254.06
  6. Step 6: Final answer
    x = 251.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.