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Finding the Fourth Proportional to 276.39, 381.50 and 187.80

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Solution

The fourth proportional to 276.39, 381.50 and 187.80 is: 259.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.39 : 381.50 = 187.80 : x
  2. Step 2: Convert to fraction form
    276.39/381.50 = 187.80/x
  3. Step 3: Cross multiply
    276.39x = 381.50 × 187.80
  4. Step 4: Simplify right side
    276.39x = 71,644.76
  5. Step 5: Solve for x
    x = 71,644.76/276.39
  6. Step 6: Final answer
    x = 259.22

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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.