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Finding the Fourth Proportional to 262.77, 396.47 and 253.68

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Solution

The fourth proportional to 262.77, 396.47 and 253.68 is: 382.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.77 : 396.47 = 253.68 : x
  2. Step 2: Convert to fraction form
    262.77/396.47 = 253.68/x
  3. Step 3: Cross multiply
    262.77x = 396.47 × 253.68
  4. Step 4: Simplify right side
    262.77x = 100,575.24
  5. Step 5: Solve for x
    x = 100,575.24/262.77
  6. Step 6: Final answer
    x = 382.75

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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.