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Finding the Fourth Proportional to 276.96, 415.76 and 140.32

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Solution

The fourth proportional to 276.96, 415.76 and 140.32 is: 210.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.96 : 415.76 = 140.32 : x
  2. Step 2: Convert to fraction form
    276.96/415.76 = 140.32/x
  3. Step 3: Cross multiply
    276.96x = 415.76 × 140.32
  4. Step 4: Simplify right side
    276.96x = 58,339.44
  5. Step 5: Solve for x
    x = 58,339.44/276.96
  6. Step 6: Final answer
    x = 210.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.