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Finding the Fourth Proportional to 277.02, 414.08 and 271.26

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Solution

The fourth proportional to 277.02, 414.08 and 271.26 is: 405.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.02 : 414.08 = 271.26 : x
  2. Step 2: Convert to fraction form
    277.02/414.08 = 271.26/x
  3. Step 3: Cross multiply
    277.02x = 414.08 × 271.26
  4. Step 4: Simplify right side
    277.02x = 112,321.98
  5. Step 5: Solve for x
    x = 112,321.98/277.02
  6. Step 6: Final answer
    x = 405.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.