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Finding the Fourth Proportional to 277.12, 382.08 and 227.27

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Solution

The fourth proportional to 277.12, 382.08 and 227.27 is: 313.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.12 : 382.08 = 227.27 : x
  2. Step 2: Convert to fraction form
    277.12/382.08 = 227.27/x
  3. Step 3: Cross multiply
    277.12x = 382.08 × 227.27
  4. Step 4: Simplify right side
    277.12x = 86,835.52
  5. Step 5: Solve for x
    x = 86,835.52/277.12
  6. Step 6: Final answer
    x = 313.35

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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.