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Finding the Fourth Proportional to 276.56, 383.68 and 274.16

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Solution

The fourth proportional to 276.56, 383.68 and 274.16 is: 380.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.56 : 383.68 = 274.16 : x
  2. Step 2: Convert to fraction form
    276.56/383.68 = 274.16/x
  3. Step 3: Cross multiply
    276.56x = 383.68 × 274.16
  4. Step 4: Simplify right side
    276.56x = 105,189.71
  5. Step 5: Solve for x
    x = 105,189.71/276.56
  6. Step 6: Final answer
    x = 380.35

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.