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Finding the Fourth Proportional to 277.90, 417.09 and 206.14

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Solution

The fourth proportional to 277.90, 417.09 and 206.14 is: 309.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.90 : 417.09 = 206.14 : x
  2. Step 2: Convert to fraction form
    277.90/417.09 = 206.14/x
  3. Step 3: Cross multiply
    277.90x = 417.09 × 206.14
  4. Step 4: Simplify right side
    277.90x = 85,978.93
  5. Step 5: Solve for x
    x = 85,978.93/277.90
  6. Step 6: Final answer
    x = 309.39

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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.