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Finding the Fourth Proportional to 97.74, 146.97 and 89.82

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Solution

The fourth proportional to 97.74, 146.97 and 89.82 is: 135.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.74 : 146.97 = 89.82 : x
  2. Step 2: Convert to fraction form
    97.74/146.97 = 89.82/x
  3. Step 3: Cross multiply
    97.74x = 146.97 × 89.82
  4. Step 4: Simplify right side
    97.74x = 13,200.85
  5. Step 5: Solve for x
    x = 13,200.85/97.74
  6. Step 6: Final answer
    x = 135.06

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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.