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Finding the Fourth Proportional to 116.10, 160.11 and 83.34

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Solution

The fourth proportional to 116.10, 160.11 and 83.34 is: 114.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.10 : 160.11 = 83.34 : x
  2. Step 2: Convert to fraction form
    116.10/160.11 = 83.34/x
  3. Step 3: Cross multiply
    116.10x = 160.11 × 83.34
  4. Step 4: Simplify right side
    116.10x = 13,343.57
  5. Step 5: Solve for x
    x = 13,343.57/116.10
  6. Step 6: Final answer
    x = 114.93

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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.