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Finding the Fourth Proportional to 114.93, 173.61 and 113.76

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Solution

The fourth proportional to 114.93, 173.61 and 113.76 is: 171.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.93 : 173.61 = 113.76 : x
  2. Step 2: Convert to fraction form
    114.93/173.61 = 113.76/x
  3. Step 3: Cross multiply
    114.93x = 173.61 × 113.76
  4. Step 4: Simplify right side
    114.93x = 19,749.87
  5. Step 5: Solve for x
    x = 19,749.87/114.93
  6. Step 6: Final answer
    x = 171.84

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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.