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Finding the Fourth Proportional to 276.22, 379.28 and 234.64

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Solution

The fourth proportional to 276.22, 379.28 and 234.64 is: 322.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.22 : 379.28 = 234.64 : x
  2. Step 2: Convert to fraction form
    276.22/379.28 = 234.64/x
  3. Step 3: Cross multiply
    276.22x = 379.28 × 234.64
  4. Step 4: Simplify right side
    276.22x = 88,994.26
  5. Step 5: Solve for x
    x = 88,994.26/276.22
  6. Step 6: Final answer
    x = 322.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.