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Finding the Fourth Proportional to 179.81, 248.14 and 114.31

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Solution

The fourth proportional to 179.81, 248.14 and 114.31 is: 157.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.81 : 248.14 = 114.31 : x
  2. Step 2: Convert to fraction form
    179.81/248.14 = 114.31/x
  3. Step 3: Cross multiply
    179.81x = 248.14 × 114.31
  4. Step 4: Simplify right side
    179.81x = 28,364.88
  5. Step 5: Solve for x
    x = 28,364.88/179.81
  6. Step 6: Final answer
    x = 157.75

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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.