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Finding the Fourth Proportional to 277.05, 415.44 and 139.89

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Solution

The fourth proportional to 277.05, 415.44 and 139.89 is: 209.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.05 : 415.44 = 139.89 : x
  2. Step 2: Convert to fraction form
    277.05/415.44 = 139.89/x
  3. Step 3: Cross multiply
    277.05x = 415.44 × 139.89
  4. Step 4: Simplify right side
    277.05x = 58,115.90
  5. Step 5: Solve for x
    x = 58,115.90/277.05
  6. Step 6: Final answer
    x = 209.77

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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.