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Finding the Fourth Proportional to 262.41, 391.74 and 252.15

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Solution

The fourth proportional to 262.41, 391.74 and 252.15 is: 376.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.41 : 391.74 = 252.15 : x
  2. Step 2: Convert to fraction form
    262.41/391.74 = 252.15/x
  3. Step 3: Cross multiply
    262.41x = 391.74 × 252.15
  4. Step 4: Simplify right side
    262.41x = 98,777.24
  5. Step 5: Solve for x
    x = 98,777.24/262.41
  6. Step 6: Final answer
    x = 376.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.