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Finding the Fourth Proportional to 116.30, 160.46 and 67.18

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Solution

The fourth proportional to 116.30, 160.46 and 67.18 is: 92.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.30 : 160.46 = 67.18 : x
  2. Step 2: Convert to fraction form
    116.30/160.46 = 67.18/x
  3. Step 3: Cross multiply
    116.30x = 160.46 × 67.18
  4. Step 4: Simplify right side
    116.30x = 10,779.70
  5. Step 5: Solve for x
    x = 10,779.70/116.30
  6. Step 6: Final answer
    x = 92.69

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