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Finding the Fourth Proportional to 277.31, 415.80 and 133.03

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Solution

The fourth proportional to 277.31, 415.80 and 133.03 is: 199.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.31 : 415.80 = 133.03 : x
  2. Step 2: Convert to fraction form
    277.31/415.80 = 133.03/x
  3. Step 3: Cross multiply
    277.31x = 415.80 × 133.03
  4. Step 4: Simplify right side
    277.31x = 55,313.87
  5. Step 5: Solve for x
    x = 55,313.87/277.31
  6. Step 6: Final answer
    x = 199.47

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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.