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Finding the Fourth Proportional to 277.23, 415.77 and 123.06

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Solution

The fourth proportional to 277.23, 415.77 and 123.06 is: 184.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.23 : 415.77 = 123.06 : x
  2. Step 2: Convert to fraction form
    277.23/415.77 = 123.06/x
  3. Step 3: Cross multiply
    277.23x = 415.77 × 123.06
  4. Step 4: Simplify right side
    277.23x = 51,164.66
  5. Step 5: Solve for x
    x = 51,164.66/277.23
  6. Step 6: Final answer
    x = 184.56

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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.