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Finding the Fourth Proportional to 101.87, 153.49 and 97.23

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Solution

The fourth proportional to 101.87, 153.49 and 97.23 is: 146.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.87 : 153.49 = 97.23 : x
  2. Step 2: Convert to fraction form
    101.87/153.49 = 97.23/x
  3. Step 3: Cross multiply
    101.87x = 153.49 × 97.23
  4. Step 4: Simplify right side
    101.87x = 14,923.83
  5. Step 5: Solve for x
    x = 14,923.83/101.87
  6. Step 6: Final answer
    x = 146.51

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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.