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Finding the Fourth Proportional to 101.48, 152.04 and 97.73

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Solution

The fourth proportional to 101.48, 152.04 and 97.73 is: 146.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.48 : 152.04 = 97.73 : x
  2. Step 2: Convert to fraction form
    101.48/152.04 = 97.73/x
  3. Step 3: Cross multiply
    101.48x = 152.04 × 97.73
  4. Step 4: Simplify right side
    101.48x = 14,858.11
  5. Step 5: Solve for x
    x = 14,858.11/101.48
  6. Step 6: Final answer
    x = 146.42

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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.