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Finding the Fourth Proportional to 179.89, 248.28 and 114.42

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Solution

The fourth proportional to 179.89, 248.28 and 114.42 is: 157.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.89 : 248.28 = 114.42 : x
  2. Step 2: Convert to fraction form
    179.89/248.28 = 114.42/x
  3. Step 3: Cross multiply
    179.89x = 248.28 × 114.42
  4. Step 4: Simplify right side
    179.89x = 28,408.20
  5. Step 5: Solve for x
    x = 28,408.20/179.89
  6. Step 6: Final answer
    x = 157.92

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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.