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Finding the Fourth Proportional to 149.89, 224.71 and 72.80

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Solution

The fourth proportional to 149.89, 224.71 and 72.80 is: 109.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.89 : 224.71 = 72.80 : x
  2. Step 2: Convert to fraction form
    149.89/224.71 = 72.80/x
  3. Step 3: Cross multiply
    149.89x = 224.71 × 72.80
  4. Step 4: Simplify right side
    149.89x = 16,358.89
  5. Step 5: Solve for x
    x = 16,358.89/149.89
  6. Step 6: Final answer
    x = 109.14

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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.