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Finding the Fourth Proportional to 116.24, 160.46 and 74.83

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Solution

The fourth proportional to 116.24, 160.46 and 74.83 is: 103.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.24 : 160.46 = 74.83 : x
  2. Step 2: Convert to fraction form
    116.24/160.46 = 74.83/x
  3. Step 3: Cross multiply
    116.24x = 160.46 × 74.83
  4. Step 4: Simplify right side
    116.24x = 12,007.22
  5. Step 5: Solve for x
    x = 12,007.22/116.24
  6. Step 6: Final answer
    x = 103.30

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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.