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Finding the Fourth Proportional to 262.76, 394.23 and 100.47

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Solution

The fourth proportional to 262.76, 394.23 and 100.47 is: 150.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.76 : 394.23 = 100.47 : x
  2. Step 2: Convert to fraction form
    262.76/394.23 = 100.47/x
  3. Step 3: Cross multiply
    262.76x = 394.23 × 100.47
  4. Step 4: Simplify right side
    262.76x = 39,608.29
  5. Step 5: Solve for x
    x = 39,608.29/262.76
  6. Step 6: Final answer
    x = 150.74

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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.