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Finding the Fourth Proportional to 116.24, 160.68 and 111.43

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Solution

The fourth proportional to 116.24, 160.68 and 111.43 is: 154.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.24 : 160.68 = 111.43 : x
  2. Step 2: Convert to fraction form
    116.24/160.68 = 111.43/x
  3. Step 3: Cross multiply
    116.24x = 160.68 × 111.43
  4. Step 4: Simplify right side
    116.24x = 17,904.29
  5. Step 5: Solve for x
    x = 17,904.29/116.24
  6. Step 6: Final answer
    x = 154.04

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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.