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Finding the Fourth Proportional to 104.04, 154.80 and 98.28

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Solution

The fourth proportional to 104.04, 154.80 and 98.28 is: 146.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.04 : 154.80 = 98.28 : x
  2. Step 2: Convert to fraction form
    104.04/154.80 = 98.28/x
  3. Step 3: Cross multiply
    104.04x = 154.80 × 98.28
  4. Step 4: Simplify right side
    104.04x = 15,213.74
  5. Step 5: Solve for x
    x = 15,213.74/104.04
  6. Step 6: Final answer
    x = 146.23

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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.