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Finding the Fourth Proportional to 102.37, 154.25 and 97.73

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Solution

The fourth proportional to 102.37, 154.25 and 97.73 is: 147.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.37 : 154.25 = 97.73 : x
  2. Step 2: Convert to fraction form
    102.37/154.25 = 97.73/x
  3. Step 3: Cross multiply
    102.37x = 154.25 × 97.73
  4. Step 4: Simplify right side
    102.37x = 15,074.36
  5. Step 5: Solve for x
    x = 15,074.36/102.37
  6. Step 6: Final answer
    x = 147.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.