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Finding the Fourth Proportional to 277.68, 418.28 and 253.64

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Solution

The fourth proportional to 277.68, 418.28 and 253.64 is: 382.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.68 : 418.28 = 253.64 : x
  2. Step 2: Convert to fraction form
    277.68/418.28 = 253.64/x
  3. Step 3: Cross multiply
    277.68x = 418.28 × 253.64
  4. Step 4: Simplify right side
    277.68x = 106,092.54
  5. Step 5: Solve for x
    x = 106,092.54/277.68
  6. Step 6: Final answer
    x = 382.07

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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.