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Finding the Fourth Proportional to 291.60, 401.56 and 276.56

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Solution

The fourth proportional to 291.60, 401.56 and 276.56 is: 380.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.60 : 401.56 = 276.56 : x
  2. Step 2: Convert to fraction form
    291.60/401.56 = 276.56/x
  3. Step 3: Cross multiply
    291.60x = 401.56 × 276.56
  4. Step 4: Simplify right side
    291.60x = 111,055.43
  5. Step 5: Solve for x
    x = 111,055.43/291.60
  6. Step 6: Final answer
    x = 380.85

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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.