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Finding the Fourth Proportional to 100.72, 150.35 and 80.25

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Solution

The fourth proportional to 100.72, 150.35 and 80.25 is: 119.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.72 : 150.35 = 80.25 : x
  2. Step 2: Convert to fraction form
    100.72/150.35 = 80.25/x
  3. Step 3: Cross multiply
    100.72x = 150.35 × 80.25
  4. Step 4: Simplify right side
    100.72x = 12,065.59
  5. Step 5: Solve for x
    x = 12,065.59/100.72
  6. Step 6: Final answer
    x = 119.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.