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Finding the Fourth Proportional to 109.95, 150.56 and 109.14

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Solution

The fourth proportional to 109.95, 150.56 and 109.14 is: 149.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.95 : 150.56 = 109.14 : x
  2. Step 2: Convert to fraction form
    109.95/150.56 = 109.14/x
  3. Step 3: Cross multiply
    109.95x = 150.56 × 109.14
  4. Step 4: Simplify right side
    109.95x = 16,431.57
  5. Step 5: Solve for x
    x = 16,431.57/109.95
  6. Step 6: Final answer
    x = 149.45

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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.