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Finding the Fourth Proportional to 104.67, 155.98 and 101.54

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Solution

The fourth proportional to 104.67, 155.98 and 101.54 is: 151.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.67 : 155.98 = 101.54 : x
  2. Step 2: Convert to fraction form
    104.67/155.98 = 101.54/x
  3. Step 3: Cross multiply
    104.67x = 155.98 × 101.54
  4. Step 4: Simplify right side
    104.67x = 15,836.92
  5. Step 5: Solve for x
    x = 15,836.92/104.67
  6. Step 6: Final answer
    x = 151.31

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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.