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Finding the Fourth Proportional to 109.24, 149.93 and 103.30

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Solution

The fourth proportional to 109.24, 149.93 and 103.30 is: 141.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.24 : 149.93 = 103.30 : x
  2. Step 2: Convert to fraction form
    109.24/149.93 = 103.30/x
  3. Step 3: Cross multiply
    109.24x = 149.93 × 103.30
  4. Step 4: Simplify right side
    109.24x = 15,487.77
  5. Step 5: Solve for x
    x = 15,487.77/109.24
  6. Step 6: Final answer
    x = 141.78

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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.