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Finding the Fourth Proportional to 274.98, 411.38 and 231.24

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Solution

The fourth proportional to 274.98, 411.38 and 231.24 is: 345.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.98 : 411.38 = 231.24 : x
  2. Step 2: Convert to fraction form
    274.98/411.38 = 231.24/x
  3. Step 3: Cross multiply
    274.98x = 411.38 × 231.24
  4. Step 4: Simplify right side
    274.98x = 95,127.51
  5. Step 5: Solve for x
    x = 95,127.51/274.98
  6. Step 6: Final answer
    x = 345.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.