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Finding the Fourth Proportional to 276.69, 415.03 and 84.32

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Solution

The fourth proportional to 276.69, 415.03 and 84.32 is: 126.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.69 : 415.03 = 84.32 : x
  2. Step 2: Convert to fraction form
    276.69/415.03 = 84.32/x
  3. Step 3: Cross multiply
    276.69x = 415.03 × 84.32
  4. Step 4: Simplify right side
    276.69x = 34,993.25
  5. Step 5: Solve for x
    x = 34,993.25/276.69
  6. Step 6: Final answer
    x = 126.47

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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.