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Finding the Fourth Proportional to 277.96, 417.06 and 133.78

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Solution

The fourth proportional to 277.96, 417.06 and 133.78 is: 200.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.96 : 417.06 = 133.78 : x
  2. Step 2: Convert to fraction form
    277.96/417.06 = 133.78/x
  3. Step 3: Cross multiply
    277.96x = 417.06 × 133.78
  4. Step 4: Simplify right side
    277.96x = 55,794.29
  5. Step 5: Solve for x
    x = 55,794.29/277.96
  6. Step 6: Final answer
    x = 200.73

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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.