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Finding the Fourth Proportional to 277.02, 417 and 196.44

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Solution

The fourth proportional to 277.02, 417 and 196.44 is: 295.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.02 : 417 = 196.44 : x
  2. Step 2: Convert to fraction form
    277.02/417 = 196.44/x
  3. Step 3: Cross multiply
    277.02x = 417 × 196.44
  4. Step 4: Simplify right side
    277.02x = 81,915.48
  5. Step 5: Solve for x
    x = 81,915.48/277.02
  6. Step 6: Final answer
    x = 295.70

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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.