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Finding the Fourth Proportional to 117.80, 163.68 and 116.35

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Solution

The fourth proportional to 117.80, 163.68 and 116.35 is: 161.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.80 : 163.68 = 116.35 : x
  2. Step 2: Convert to fraction form
    117.80/163.68 = 116.35/x
  3. Step 3: Cross multiply
    117.80x = 163.68 × 116.35
  4. Step 4: Simplify right side
    117.80x = 19,044.17
  5. Step 5: Solve for x
    x = 19,044.17/117.80
  6. Step 6: Final answer
    x = 161.67

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.