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Finding the Fourth Proportional to 291.06, 433.78 and 276.48

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Solution

The fourth proportional to 291.06, 433.78 and 276.48 is: 412.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.06 : 433.78 = 276.48 : x
  2. Step 2: Convert to fraction form
    291.06/433.78 = 276.48/x
  3. Step 3: Cross multiply
    291.06x = 433.78 × 276.48
  4. Step 4: Simplify right side
    291.06x = 119,930.80
  5. Step 5: Solve for x
    x = 119,930.80/291.06
  6. Step 6: Final answer
    x = 412.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.