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Finding the Fourth Proportional to 116.51, 160.83 and 83.84

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Solution

The fourth proportional to 116.51, 160.83 and 83.84 is: 115.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.51 : 160.83 = 83.84 : x
  2. Step 2: Convert to fraction form
    116.51/160.83 = 83.84/x
  3. Step 3: Cross multiply
    116.51x = 160.83 × 83.84
  4. Step 4: Simplify right side
    116.51x = 13,483.18
  5. Step 5: Solve for x
    x = 13,483.18/116.51
  6. Step 6: Final answer
    x = 115.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.