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Finding the Fourth Proportional to 276.33, 412.16 and 235.29

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Solution

The fourth proportional to 276.33, 412.16 and 235.29 is: 350.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.33 : 412.16 = 235.29 : x
  2. Step 2: Convert to fraction form
    276.33/412.16 = 235.29/x
  3. Step 3: Cross multiply
    276.33x = 412.16 × 235.29
  4. Step 4: Simplify right side
    276.33x = 96,977.13
  5. Step 5: Solve for x
    x = 96,977.13/276.33
  6. Step 6: Final answer
    x = 350.95

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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.