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Finding the Fourth Proportional to 114.77, 173.39 and 113.76

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Solution

The fourth proportional to 114.77, 173.39 and 113.76 is: 171.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.77 : 173.39 = 113.76 : x
  2. Step 2: Convert to fraction form
    114.77/173.39 = 113.76/x
  3. Step 3: Cross multiply
    114.77x = 173.39 × 113.76
  4. Step 4: Simplify right side
    114.77x = 19,724.28
  5. Step 5: Solve for x
    x = 19,724.28/114.77
  6. Step 6: Final answer
    x = 171.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.