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Finding the Fourth Proportional to 263.73, 395.56 and 90.39

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Solution

The fourth proportional to 263.73, 395.56 and 90.39 is: 135.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.73 : 395.56 = 90.39 : x
  2. Step 2: Convert to fraction form
    263.73/395.56 = 90.39/x
  3. Step 3: Cross multiply
    263.73x = 395.56 × 90.39
  4. Step 4: Simplify right side
    263.73x = 35,754.67
  5. Step 5: Solve for x
    x = 35,754.67/263.73
  6. Step 6: Final answer
    x = 135.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.