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Finding the Fourth Proportional to 277.22, 418.77 and 275.00

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Solution

The fourth proportional to 277.22, 418.77 and 275.00 is: 415.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.22 : 418.77 = 275.00 : x
  2. Step 2: Convert to fraction form
    277.22/418.77 = 275.00/x
  3. Step 3: Cross multiply
    277.22x = 418.77 × 275.00
  4. Step 4: Simplify right side
    277.22x = 115,159.66
  5. Step 5: Solve for x
    x = 115,159.66/277.22
  6. Step 6: Final answer
    x = 415.41

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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.