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Finding the Fourth Proportional to 263.84, 397.40 and 249.76

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Solution

The fourth proportional to 263.84, 397.40 and 249.76 is: 376.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.84 : 397.40 = 249.76 : x
  2. Step 2: Convert to fraction form
    263.84/397.40 = 249.76/x
  3. Step 3: Cross multiply
    263.84x = 397.40 × 249.76
  4. Step 4: Simplify right side
    263.84x = 99,254.62
  5. Step 5: Solve for x
    x = 99,254.62/263.84
  6. Step 6: Final answer
    x = 376.19

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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.