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Finding the Fourth Proportional to 277.13, 382.78 and 224.86

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Solution

The fourth proportional to 277.13, 382.78 and 224.86 is: 310.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.13 : 382.78 = 224.86 : x
  2. Step 2: Convert to fraction form
    277.13/382.78 = 224.86/x
  3. Step 3: Cross multiply
    277.13x = 382.78 × 224.86
  4. Step 4: Simplify right side
    277.13x = 86,068.87
  5. Step 5: Solve for x
    x = 86,068.87/277.13
  6. Step 6: Final answer
    x = 310.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.