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Finding the Fourth Proportional to 97.60, 146.32 and 89.60

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Solution

The fourth proportional to 97.60, 146.32 and 89.60 is: 134.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.60 : 146.32 = 89.60 : x
  2. Step 2: Convert to fraction form
    97.60/146.32 = 89.60/x
  3. Step 3: Cross multiply
    97.60x = 146.32 × 89.60
  4. Step 4: Simplify right side
    97.60x = 13,110.27
  5. Step 5: Solve for x
    x = 13,110.27/97.60
  6. Step 6: Final answer
    x = 134.33

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Why These Related Problems?

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