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Finding the Fourth Proportional to 263.63, 395.37 and 78.57

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Solution

The fourth proportional to 263.63, 395.37 and 78.57 is: 117.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.63 : 395.37 = 78.57 : x
  2. Step 2: Convert to fraction form
    263.63/395.37 = 78.57/x
  3. Step 3: Cross multiply
    263.63x = 395.37 × 78.57
  4. Step 4: Simplify right side
    263.63x = 31,064.22
  5. Step 5: Solve for x
    x = 31,064.22/263.63
  6. Step 6: Final answer
    x = 117.83

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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.