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Finding the Fourth Proportional to 109.52, 150.22 and 107.42

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Solution

The fourth proportional to 109.52, 150.22 and 107.42 is: 147.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.52 : 150.22 = 107.42 : x
  2. Step 2: Convert to fraction form
    109.52/150.22 = 107.42/x
  3. Step 3: Cross multiply
    109.52x = 150.22 × 107.42
  4. Step 4: Simplify right side
    109.52x = 16,136.63
  5. Step 5: Solve for x
    x = 16,136.63/109.52
  6. Step 6: Final answer
    x = 147.34

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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.