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Finding the Fourth Proportional to 111.65, 166.86 and 103.41

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Solution

The fourth proportional to 111.65, 166.86 and 103.41 is: 154.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.65 : 166.86 = 103.41 : x
  2. Step 2: Convert to fraction form
    111.65/166.86 = 103.41/x
  3. Step 3: Cross multiply
    111.65x = 166.86 × 103.41
  4. Step 4: Simplify right side
    111.65x = 17,254.99
  5. Step 5: Solve for x
    x = 17,254.99/111.65
  6. Step 6: Final answer
    x = 154.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.