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Finding the Fourth Proportional to 179.60, 247.79 and 114.09

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Solution

The fourth proportional to 179.60, 247.79 and 114.09 is: 157.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.60 : 247.79 = 114.09 : x
  2. Step 2: Convert to fraction form
    179.60/247.79 = 114.09/x
  3. Step 3: Cross multiply
    179.60x = 247.79 × 114.09
  4. Step 4: Simplify right side
    179.60x = 28,270.36
  5. Step 5: Solve for x
    x = 28,270.36/179.60
  6. Step 6: Final answer
    x = 157.41

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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.