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Finding the Fourth Proportional to 277.24, 385.65 and 271.96

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Solution

The fourth proportional to 277.24, 385.65 and 271.96 is: 378.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.24 : 385.65 = 271.96 : x
  2. Step 2: Convert to fraction form
    277.24/385.65 = 271.96/x
  3. Step 3: Cross multiply
    277.24x = 385.65 × 271.96
  4. Step 4: Simplify right side
    277.24x = 104,881.37
  5. Step 5: Solve for x
    x = 104,881.37/277.24
  6. Step 6: Final answer
    x = 378.31

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.