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Finding the Fourth Proportional to 277.39, 415.94 and 131.01

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Solution

The fourth proportional to 277.39, 415.94 and 131.01 is: 196.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.39 : 415.94 = 131.01 : x
  2. Step 2: Convert to fraction form
    277.39/415.94 = 131.01/x
  3. Step 3: Cross multiply
    277.39x = 415.94 × 131.01
  4. Step 4: Simplify right side
    277.39x = 54,494.35
  5. Step 5: Solve for x
    x = 54,494.35/277.39
  6. Step 6: Final answer
    x = 196.46

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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.