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Finding the Fourth Proportional to 116.47, 160.60 and 107.22

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Solution

The fourth proportional to 116.47, 160.60 and 107.22 is: 147.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.47 : 160.60 = 107.22 : x
  2. Step 2: Convert to fraction form
    116.47/160.60 = 107.22/x
  3. Step 3: Cross multiply
    116.47x = 160.60 × 107.22
  4. Step 4: Simplify right side
    116.47x = 17,219.53
  5. Step 5: Solve for x
    x = 17,219.53/116.47
  6. Step 6: Final answer
    x = 147.85

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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.