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Finding the Fourth Proportional to 276.83, 415.25 and 103.41

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Solution

The fourth proportional to 276.83, 415.25 and 103.41 is: 155.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.83 : 415.25 = 103.41 : x
  2. Step 2: Convert to fraction form
    276.83/415.25 = 103.41/x
  3. Step 3: Cross multiply
    276.83x = 415.25 × 103.41
  4. Step 4: Simplify right side
    276.83x = 42,938.93
  5. Step 5: Solve for x
    x = 42,938.93/276.83
  6. Step 6: Final answer
    x = 155.11

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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.