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Finding the Fourth Proportional to 103.48, 154.16 and 98.36

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Solution

The fourth proportional to 103.48, 154.16 and 98.36 is: 146.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.48 : 154.16 = 98.36 : x
  2. Step 2: Convert to fraction form
    103.48/154.16 = 98.36/x
  3. Step 3: Cross multiply
    103.48x = 154.16 × 98.36
  4. Step 4: Simplify right side
    103.48x = 15,163.18
  5. Step 5: Solve for x
    x = 15,163.18/103.48
  6. Step 6: Final answer
    x = 146.53

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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.