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Finding the Fourth Proportional to 263.59, 363.56 and 193.63

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Solution

The fourth proportional to 263.59, 363.56 and 193.63 is: 267.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.59 : 363.56 = 193.63 : x
  2. Step 2: Convert to fraction form
    263.59/363.56 = 193.63/x
  3. Step 3: Cross multiply
    263.59x = 363.56 × 193.63
  4. Step 4: Simplify right side
    263.59x = 70,394.31
  5. Step 5: Solve for x
    x = 70,394.31/263.59
  6. Step 6: Final answer
    x = 267.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.