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Finding the Fourth Proportional to 116.19, 160.22 and 83.58

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Solution

The fourth proportional to 116.19, 160.22 and 83.58 is: 115.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.19 : 160.22 = 83.58 : x
  2. Step 2: Convert to fraction form
    116.19/160.22 = 83.58/x
  3. Step 3: Cross multiply
    116.19x = 160.22 × 83.58
  4. Step 4: Simplify right side
    116.19x = 13,390.77
  5. Step 5: Solve for x
    x = 13,390.77/116.19
  6. Step 6: Final answer
    x = 115.25

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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.