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Finding the Fourth Proportional to 277.24, 381.72 and 263.56

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Solution

The fourth proportional to 277.24, 381.72 and 263.56 is: 362.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.24 : 381.72 = 263.56 : x
  2. Step 2: Convert to fraction form
    277.24/381.72 = 263.56/x
  3. Step 3: Cross multiply
    277.24x = 381.72 × 263.56
  4. Step 4: Simplify right side
    277.24x = 100,606.12
  5. Step 5: Solve for x
    x = 100,606.12/277.24
  6. Step 6: Final answer
    x = 362.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.