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Finding the Fourth Proportional to 274.12, 412.78 and 202.48

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Solution

The fourth proportional to 274.12, 412.78 and 202.48 is: 304.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.12 : 412.78 = 202.48 : x
  2. Step 2: Convert to fraction form
    274.12/412.78 = 202.48/x
  3. Step 3: Cross multiply
    274.12x = 412.78 × 202.48
  4. Step 4: Simplify right side
    274.12x = 83,579.69
  5. Step 5: Solve for x
    x = 83,579.69/274.12
  6. Step 6: Final answer
    x = 304.90

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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.