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Finding the Fourth Proportional to 262.63, 395.47 and 194.63

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Solution

The fourth proportional to 262.63, 395.47 and 194.63 is: 293.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.63 : 395.47 = 194.63 : x
  2. Step 2: Convert to fraction form
    262.63/395.47 = 194.63/x
  3. Step 3: Cross multiply
    262.63x = 395.47 × 194.63
  4. Step 4: Simplify right side
    262.63x = 76,971.31
  5. Step 5: Solve for x
    x = 76,971.31/262.63
  6. Step 6: Final answer
    x = 293.08

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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.