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Finding the Fourth Proportional to 117.29, 176.21 and 71.67

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Solution

The fourth proportional to 117.29, 176.21 and 71.67 is: 107.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.29 : 176.21 = 71.67 : x
  2. Step 2: Convert to fraction form
    117.29/176.21 = 71.67/x
  3. Step 3: Cross multiply
    117.29x = 176.21 × 71.67
  4. Step 4: Simplify right side
    117.29x = 12,628.97
  5. Step 5: Solve for x
    x = 12,628.97/117.29
  6. Step 6: Final answer
    x = 107.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.