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Finding the Fourth Proportional to 224.45, 338.21 and 184.76

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Solution

The fourth proportional to 224.45, 338.21 and 184.76 is: 278.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.45 : 338.21 = 184.76 : x
  2. Step 2: Convert to fraction form
    224.45/338.21 = 184.76/x
  3. Step 3: Cross multiply
    224.45x = 338.21 × 184.76
  4. Step 4: Simplify right side
    224.45x = 62,487.60
  5. Step 5: Solve for x
    x = 62,487.60/224.45
  6. Step 6: Final answer
    x = 278.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.