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Finding the Fourth Proportional to 277.78, 418.33 and 242.14

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Solution

The fourth proportional to 277.78, 418.33 and 242.14 is: 364.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.78 : 418.33 = 242.14 : x
  2. Step 2: Convert to fraction form
    277.78/418.33 = 242.14/x
  3. Step 3: Cross multiply
    277.78x = 418.33 × 242.14
  4. Step 4: Simplify right side
    277.78x = 101,294.43
  5. Step 5: Solve for x
    x = 101,294.43/277.78
  6. Step 6: Final answer
    x = 364.66

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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.