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Finding the Fourth Proportional to 277.26, 417.42 and 244.94

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Solution

The fourth proportional to 277.26, 417.42 and 244.94 is: 368.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.26 : 417.42 = 244.94 : x
  2. Step 2: Convert to fraction form
    277.26/417.42 = 244.94/x
  3. Step 3: Cross multiply
    277.26x = 417.42 × 244.94
  4. Step 4: Simplify right side
    277.26x = 102,244.82
  5. Step 5: Solve for x
    x = 102,244.82/277.26
  6. Step 6: Final answer
    x = 368.77

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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.