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Finding the Fourth Proportional to 149.62, 224.61 and 103.86

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Solution

The fourth proportional to 149.62, 224.61 and 103.86 is: 155.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.62 : 224.61 = 103.86 : x
  2. Step 2: Convert to fraction form
    149.62/224.61 = 103.86/x
  3. Step 3: Cross multiply
    149.62x = 224.61 × 103.86
  4. Step 4: Simplify right side
    149.62x = 23,327.99
  5. Step 5: Solve for x
    x = 23,327.99/149.62
  6. Step 6: Final answer
    x = 155.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.