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Finding the Fourth Proportional to 276.94, 415.13 and 174.30

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Solution

The fourth proportional to 276.94, 415.13 and 174.30 is: 261.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.94 : 415.13 = 174.30 : x
  2. Step 2: Convert to fraction form
    276.94/415.13 = 174.30/x
  3. Step 3: Cross multiply
    276.94x = 415.13 × 174.30
  4. Step 4: Simplify right side
    276.94x = 72,354.65
  5. Step 5: Solve for x
    x = 72,354.65/276.94
  6. Step 6: Final answer
    x = 261.27

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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.