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Finding the Fourth Proportional to 105.11, 157.49 and 101.11

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Solution

The fourth proportional to 105.11, 157.49 and 101.11 is: 151.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.11 : 157.49 = 101.11 : x
  2. Step 2: Convert to fraction form
    105.11/157.49 = 101.11/x
  3. Step 3: Cross multiply
    105.11x = 157.49 × 101.11
  4. Step 4: Simplify right side
    105.11x = 15,922.91
  5. Step 5: Solve for x
    x = 15,922.91/105.11
  6. Step 6: Final answer
    x = 151.50

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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.