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Finding the Fourth Proportional to 276.98, 382.16 and 170.67

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Solution

The fourth proportional to 276.98, 382.16 and 170.67 is: 235.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.98 : 382.16 = 170.67 : x
  2. Step 2: Convert to fraction form
    276.98/382.16 = 170.67/x
  3. Step 3: Cross multiply
    276.98x = 382.16 × 170.67
  4. Step 4: Simplify right side
    276.98x = 65,222.39
  5. Step 5: Solve for x
    x = 65,222.39/276.98
  6. Step 6: Final answer
    x = 235.48

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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.