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Finding the Fourth Proportional to 109.36, 150.30 and 104.56

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Solution

The fourth proportional to 109.36, 150.30 and 104.56 is: 143.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.36 : 150.30 = 104.56 : x
  2. Step 2: Convert to fraction form
    109.36/150.30 = 104.56/x
  3. Step 3: Cross multiply
    109.36x = 150.30 × 104.56
  4. Step 4: Simplify right side
    109.36x = 15,715.37
  5. Step 5: Solve for x
    x = 15,715.37/109.36
  6. Step 6: Final answer
    x = 143.70

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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.