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Finding the Fourth Proportional to 117.77, 163.40 and 116.57

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Solution

The fourth proportional to 117.77, 163.40 and 116.57 is: 161.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.77 : 163.40 = 116.57 : x
  2. Step 2: Convert to fraction form
    117.77/163.40 = 116.57/x
  3. Step 3: Cross multiply
    117.77x = 163.40 × 116.57
  4. Step 4: Simplify right side
    117.77x = 19,047.36
  5. Step 5: Solve for x
    x = 19,047.36/117.77
  6. Step 6: Final answer
    x = 161.74

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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.