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Finding the Fourth Proportional to 104.75, 157.25 and 88.82

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Solution

The fourth proportional to 104.75, 157.25 and 88.82 is: 133.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.75 : 157.25 = 88.82 : x
  2. Step 2: Convert to fraction form
    104.75/157.25 = 88.82/x
  3. Step 3: Cross multiply
    104.75x = 157.25 × 88.82
  4. Step 4: Simplify right side
    104.75x = 13,966.38
  5. Step 5: Solve for x
    x = 13,966.38/104.75
  6. Step 6: Final answer
    x = 133.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.