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Finding the Fourth Proportional to 179.98, 248.31 and 114.47

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Solution

The fourth proportional to 179.98, 248.31 and 114.47 is: 157.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.98 : 248.31 = 114.47 : x
  2. Step 2: Convert to fraction form
    179.98/248.31 = 114.47/x
  3. Step 3: Cross multiply
    179.98x = 248.31 × 114.47
  4. Step 4: Simplify right side
    179.98x = 28,424.05
  5. Step 5: Solve for x
    x = 28,424.05/179.98
  6. Step 6: Final answer
    x = 157.93

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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.