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Finding the Fourth Proportional to 117.44, 174.64 and 116.48

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Solution

The fourth proportional to 117.44, 174.64 and 116.48 is: 173.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.44 : 174.64 = 116.48 : x
  2. Step 2: Convert to fraction form
    117.44/174.64 = 116.48/x
  3. Step 3: Cross multiply
    117.44x = 174.64 × 116.48
  4. Step 4: Simplify right side
    117.44x = 20,342.07
  5. Step 5: Solve for x
    x = 20,342.07/117.44
  6. Step 6: Final answer
    x = 173.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.