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Finding the Fourth Proportional to 263.88, 398.07 and 263.34

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Solution

The fourth proportional to 263.88, 398.07 and 263.34 is: 397.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.88 : 398.07 = 263.34 : x
  2. Step 2: Convert to fraction form
    263.88/398.07 = 263.34/x
  3. Step 3: Cross multiply
    263.88x = 398.07 × 263.34
  4. Step 4: Simplify right side
    263.88x = 104,827.75
  5. Step 5: Solve for x
    x = 104,827.75/263.88
  6. Step 6: Final answer
    x = 397.26

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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.