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Finding the Fourth Proportional to 276.45, 386.55 and 276.45

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Solution

The fourth proportional to 276.45, 386.55 and 276.45 is: 386.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.45 : 386.55 = 276.45 : x
  2. Step 2: Convert to fraction form
    276.45/386.55 = 276.45/x
  3. Step 3: Cross multiply
    276.45x = 386.55 × 276.45
  4. Step 4: Simplify right side
    276.45x = 106,861.75
  5. Step 5: Solve for x
    x = 106,861.75/276.45
  6. Step 6: Final answer
    x = 386.55

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.