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Finding the Fourth Proportional to 117.73, 175.21 and 117.37

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Solution

The fourth proportional to 117.73, 175.21 and 117.37 is: 174.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.73 : 175.21 = 117.37 : x
  2. Step 2: Convert to fraction form
    117.73/175.21 = 117.37/x
  3. Step 3: Cross multiply
    117.73x = 175.21 × 117.37
  4. Step 4: Simplify right side
    117.73x = 20,564.40
  5. Step 5: Solve for x
    x = 20,564.40/117.73
  6. Step 6: Final answer
    x = 174.67

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