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Finding the Fourth Proportional to 224.25, 336.38 and 72.25

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Solution

The fourth proportional to 224.25, 336.38 and 72.25 is: 108.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.25 : 336.38 = 72.25 : x
  2. Step 2: Convert to fraction form
    224.25/336.38 = 72.25/x
  3. Step 3: Cross multiply
    224.25x = 336.38 × 72.25
  4. Step 4: Simplify right side
    224.25x = 24,303.09
  5. Step 5: Solve for x
    x = 24,303.09/224.25
  6. Step 6: Final answer
    x = 108.38

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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.