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Finding the Fourth Proportional to 276.37, 381.37 and 152

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Solution

The fourth proportional to 276.37, 381.37 and 152 is: 209.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.37 : 381.37 = 152 : x
  2. Step 2: Convert to fraction form
    276.37/381.37 = 152/x
  3. Step 3: Cross multiply
    276.37x = 381.37 × 152
  4. Step 4: Simplify right side
    276.37x = 57,968.24
  5. Step 5: Solve for x
    x = 57,968.24/276.37
  6. Step 6: Final answer
    x = 209.75

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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.