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Finding the Fourth Proportional to 263.69, 393.16 and 254.63

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Solution

The fourth proportional to 263.69, 393.16 and 254.63 is: 379.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.69 : 393.16 = 254.63 : x
  2. Step 2: Convert to fraction form
    263.69/393.16 = 254.63/x
  3. Step 3: Cross multiply
    263.69x = 393.16 × 254.63
  4. Step 4: Simplify right side
    263.69x = 100,109.06
  5. Step 5: Solve for x
    x = 100,109.06/263.69
  6. Step 6: Final answer
    x = 379.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.