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Finding the Fourth Proportional to 277.54, 417.94 and 241.90

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Solution

The fourth proportional to 277.54, 417.94 and 241.90 is: 364.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.54 : 417.94 = 241.90 : x
  2. Step 2: Convert to fraction form
    277.54/417.94 = 241.90/x
  3. Step 3: Cross multiply
    277.54x = 417.94 × 241.90
  4. Step 4: Simplify right side
    277.54x = 101,099.69
  5. Step 5: Solve for x
    x = 101,099.69/277.54
  6. Step 6: Final answer
    x = 364.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.