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Finding the Fourth Proportional to 149.68, 224.80 and 103.60

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Solution

The fourth proportional to 149.68, 224.80 and 103.60 is: 155.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.68 : 224.80 = 103.60 : x
  2. Step 2: Convert to fraction form
    149.68/224.80 = 103.60/x
  3. Step 3: Cross multiply
    149.68x = 224.80 × 103.60
  4. Step 4: Simplify right side
    149.68x = 23,289.28
  5. Step 5: Solve for x
    x = 23,289.28/149.68
  6. Step 6: Final answer
    x = 155.59

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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.