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Finding the Fourth Proportional to 277.32, 382.86 and 226.20

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Solution

The fourth proportional to 277.32, 382.86 and 226.20 is: 312.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.32 : 382.86 = 226.20 : x
  2. Step 2: Convert to fraction form
    277.32/382.86 = 226.20/x
  3. Step 3: Cross multiply
    277.32x = 382.86 × 226.20
  4. Step 4: Simplify right side
    277.32x = 86,602.93
  5. Step 5: Solve for x
    x = 86,602.93/277.32
  6. Step 6: Final answer
    x = 312.29

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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.