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Finding the Fourth Proportional to 101.20, 150.75 and 98.80

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Solution

The fourth proportional to 101.20, 150.75 and 98.80 is: 147.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.20 : 150.75 = 98.80 : x
  2. Step 2: Convert to fraction form
    101.20/150.75 = 98.80/x
  3. Step 3: Cross multiply
    101.20x = 150.75 × 98.80
  4. Step 4: Simplify right side
    101.20x = 14,894.10
  5. Step 5: Solve for x
    x = 14,894.10/101.20
  6. Step 6: Final answer
    x = 147.17

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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.