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Finding the Fourth Proportional to 109.86, 150.26 and 109.45

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Solution

The fourth proportional to 109.86, 150.26 and 109.45 is: 149.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.86 : 150.26 = 109.45 : x
  2. Step 2: Convert to fraction form
    109.86/150.26 = 109.45/x
  3. Step 3: Cross multiply
    109.86x = 150.26 × 109.45
  4. Step 4: Simplify right side
    109.86x = 16,445.60
  5. Step 5: Solve for x
    x = 16,445.60/109.86
  6. Step 6: Final answer
    x = 149.70

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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.