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Finding the Fourth Proportional to 103.68, 154.53 and 98.28

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Solution

The fourth proportional to 103.68, 154.53 and 98.28 is: 146.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.68 : 154.53 = 98.28 : x
  2. Step 2: Convert to fraction form
    103.68/154.53 = 98.28/x
  3. Step 3: Cross multiply
    103.68x = 154.53 × 98.28
  4. Step 4: Simplify right side
    103.68x = 15,187.21
  5. Step 5: Solve for x
    x = 15,187.21/103.68
  6. Step 6: Final answer
    x = 146.48

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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.