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Finding the Fourth Proportional to 109.19, 149.76 and 103.31

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Solution

The fourth proportional to 109.19, 149.76 and 103.31 is: 141.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.19 : 149.76 = 103.31 : x
  2. Step 2: Convert to fraction form
    109.19/149.76 = 103.31/x
  3. Step 3: Cross multiply
    109.19x = 149.76 × 103.31
  4. Step 4: Simplify right side
    109.19x = 15,472.08
  5. Step 5: Solve for x
    x = 15,472.08/109.19
  6. Step 6: Final answer
    x = 141.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.