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Finding the Fourth Proportional to 289.97, 400.31 and 202.49

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Solution

The fourth proportional to 289.97, 400.31 and 202.49 is: 279.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.97 : 400.31 = 202.49 : x
  2. Step 2: Convert to fraction form
    289.97/400.31 = 202.49/x
  3. Step 3: Cross multiply
    289.97x = 400.31 × 202.49
  4. Step 4: Simplify right side
    289.97x = 81,055.76
  5. Step 5: Solve for x
    x = 81,055.76/289.97
  6. Step 6: Final answer
    x = 279.54

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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.