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Finding the Fourth Proportional to 249.30, 343.62 and 202.50

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Solution

The fourth proportional to 249.30, 343.62 and 202.50 is: 279.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.30 : 343.62 = 202.50 : x
  2. Step 2: Convert to fraction form
    249.30/343.62 = 202.50/x
  3. Step 3: Cross multiply
    249.30x = 343.62 × 202.50
  4. Step 4: Simplify right side
    249.30x = 69,583.05
  5. Step 5: Solve for x
    x = 69,583.05/249.30
  6. Step 6: Final answer
    x = 279.11

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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.