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Finding the Fourth Proportional to 149.98, 224.72 and 68.80

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Solution

The fourth proportional to 149.98, 224.72 and 68.80 is: 103.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.98 : 224.72 = 68.80 : x
  2. Step 2: Convert to fraction form
    149.98/224.72 = 68.80/x
  3. Step 3: Cross multiply
    149.98x = 224.72 × 68.80
  4. Step 4: Simplify right side
    149.98x = 15,460.74
  5. Step 5: Solve for x
    x = 15,460.74/149.98
  6. Step 6: Final answer
    x = 103.09

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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.