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Finding the Fourth Proportional to 277.50, 382.12 and 237.86

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Solution

The fourth proportional to 277.50, 382.12 and 237.86 is: 327.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.50 : 382.12 = 237.86 : x
  2. Step 2: Convert to fraction form
    277.50/382.12 = 237.86/x
  3. Step 3: Cross multiply
    277.50x = 382.12 × 237.86
  4. Step 4: Simplify right side
    277.50x = 90,889.87
  5. Step 5: Solve for x
    x = 90,889.87/277.50
  6. Step 6: Final answer
    x = 327.53

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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.