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Finding the Fourth Proportional to 224.48, 336.78 and 80.20

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Solution

The fourth proportional to 224.48, 336.78 and 80.20 is: 120.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.48 : 336.78 = 80.20 : x
  2. Step 2: Convert to fraction form
    224.48/336.78 = 80.20/x
  3. Step 3: Cross multiply
    224.48x = 336.78 × 80.20
  4. Step 4: Simplify right side
    224.48x = 27,009.76
  5. Step 5: Solve for x
    x = 27,009.76/224.48
  6. Step 6: Final answer
    x = 120.32

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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.