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Finding the Fourth Proportional to 263.76, 397.51 and 251.40

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Solution

The fourth proportional to 263.76, 397.51 and 251.40 is: 378.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.76 : 397.51 = 251.40 : x
  2. Step 2: Convert to fraction form
    263.76/397.51 = 251.40/x
  3. Step 3: Cross multiply
    263.76x = 397.51 × 251.40
  4. Step 4: Simplify right side
    263.76x = 99,934.88
  5. Step 5: Solve for x
    x = 99,934.88/263.76
  6. Step 6: Final answer
    x = 378.89

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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.