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Finding the Fourth Proportional to 111.89, 166.89 and 97.58

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Solution

The fourth proportional to 111.89, 166.89 and 97.58 is: 145.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.89 : 166.89 = 97.58 : x
  2. Step 2: Convert to fraction form
    111.89/166.89 = 97.58/x
  3. Step 3: Cross multiply
    111.89x = 166.89 × 97.58
  4. Step 4: Simplify right side
    111.89x = 16,284.29
  5. Step 5: Solve for x
    x = 16,284.29/111.89
  6. Step 6: Final answer
    x = 145.54

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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.