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Finding the Fourth Proportional to 103.81, 154.72 and 103.65

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Solution

The fourth proportional to 103.81, 154.72 and 103.65 is: 154.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.81 : 154.72 = 103.65 : x
  2. Step 2: Convert to fraction form
    103.81/154.72 = 103.65/x
  3. Step 3: Cross multiply
    103.81x = 154.72 × 103.65
  4. Step 4: Simplify right side
    103.81x = 16,036.73
  5. Step 5: Solve for x
    x = 16,036.73/103.81
  6. Step 6: Final answer
    x = 154.48

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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.