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Finding the Fourth Proportional to 262.52, 393.82 and 91.48

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Solution

The fourth proportional to 262.52, 393.82 and 91.48 is: 137.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.52 : 393.82 = 91.48 : x
  2. Step 2: Convert to fraction form
    262.52/393.82 = 91.48/x
  3. Step 3: Cross multiply
    262.52x = 393.82 × 91.48
  4. Step 4: Simplify right side
    262.52x = 36,026.65
  5. Step 5: Solve for x
    x = 36,026.65/262.52
  6. Step 6: Final answer
    x = 137.23

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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.