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Finding the Fourth Proportional to 277.60, 381.20 and 233.86

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Solution

The fourth proportional to 277.60, 381.20 and 233.86 is: 321.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.60 : 381.20 = 233.86 : x
  2. Step 2: Convert to fraction form
    277.60/381.20 = 233.86/x
  3. Step 3: Cross multiply
    277.60x = 381.20 × 233.86
  4. Step 4: Simplify right side
    277.60x = 89,147.43
  5. Step 5: Solve for x
    x = 89,147.43/277.60
  6. Step 6: Final answer
    x = 321.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.