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Finding the Fourth Proportional to 103.91, 154.69 and 99.72

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Solution

The fourth proportional to 103.91, 154.69 and 99.72 is: 148.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.91 : 154.69 = 99.72 : x
  2. Step 2: Convert to fraction form
    103.91/154.69 = 99.72/x
  3. Step 3: Cross multiply
    103.91x = 154.69 × 99.72
  4. Step 4: Simplify right side
    103.91x = 15,425.44
  5. Step 5: Solve for x
    x = 15,425.44/103.91
  6. Step 6: Final answer
    x = 148.46

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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.