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Finding the Fourth Proportional to 117.05, 160.57 and 113.84

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Solution

The fourth proportional to 117.05, 160.57 and 113.84 is: 156.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.05 : 160.57 = 113.84 : x
  2. Step 2: Convert to fraction form
    117.05/160.57 = 113.84/x
  3. Step 3: Cross multiply
    117.05x = 160.57 × 113.84
  4. Step 4: Simplify right side
    117.05x = 18,279.75
  5. Step 5: Solve for x
    x = 18,279.75/117.05
  6. Step 6: Final answer
    x = 156.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.