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Finding the Fourth Proportional to 249.08, 342.63 and 204.26

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Solution

The fourth proportional to 249.08, 342.63 and 204.26 is: 280.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.08 : 342.63 = 204.26 : x
  2. Step 2: Convert to fraction form
    249.08/342.63 = 204.26/x
  3. Step 3: Cross multiply
    249.08x = 342.63 × 204.26
  4. Step 4: Simplify right side
    249.08x = 69,983.89
  5. Step 5: Solve for x
    x = 69,983.89/249.08
  6. Step 6: Final answer
    x = 280.98

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