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Finding the Fourth Proportional to 277.49, 414.95 and 271.01

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Solution

The fourth proportional to 277.49, 414.95 and 271.01 is: 405.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.49 : 414.95 = 271.01 : x
  2. Step 2: Convert to fraction form
    277.49/414.95 = 271.01/x
  3. Step 3: Cross multiply
    277.49x = 414.95 × 271.01
  4. Step 4: Simplify right side
    277.49x = 112,452.17
  5. Step 5: Solve for x
    x = 112,452.17/277.49
  6. Step 6: Final answer
    x = 405.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.