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Finding the Fourth Proportional to 224.28, 309.36 and 145.56

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Solution

The fourth proportional to 224.28, 309.36 and 145.56 is: 200.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.28 : 309.36 = 145.56 : x
  2. Step 2: Convert to fraction form
    224.28/309.36 = 145.56/x
  3. Step 3: Cross multiply
    224.28x = 309.36 × 145.56
  4. Step 4: Simplify right side
    224.28x = 45,030.44
  5. Step 5: Solve for x
    x = 45,030.44/224.28
  6. Step 6: Final answer
    x = 200.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.