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Finding the Fourth Proportional to 254.67, 351.14 and 180.93

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Solution

The fourth proportional to 254.67, 351.14 and 180.93 is: 249.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.67 : 351.14 = 180.93 : x
  2. Step 2: Convert to fraction form
    254.67/351.14 = 180.93/x
  3. Step 3: Cross multiply
    254.67x = 351.14 × 180.93
  4. Step 4: Simplify right side
    254.67x = 63,530.86
  5. Step 5: Solve for x
    x = 63,530.86/254.67
  6. Step 6: Final answer
    x = 249.46

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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.