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Finding the Fourth Proportional to 101.09, 150.65 and 97.83

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Solution

The fourth proportional to 101.09, 150.65 and 97.83 is: 145.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.09 : 150.65 = 97.83 : x
  2. Step 2: Convert to fraction form
    101.09/150.65 = 97.83/x
  3. Step 3: Cross multiply
    101.09x = 150.65 × 97.83
  4. Step 4: Simplify right side
    101.09x = 14,738.09
  5. Step 5: Solve for x
    x = 14,738.09/101.09
  6. Step 6: Final answer
    x = 145.79

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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.