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Finding the Fourth Proportional to 276.76, 415.25 and 146.90

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Solution

The fourth proportional to 276.76, 415.25 and 146.90 is: 220.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.76 : 415.25 = 146.90 : x
  2. Step 2: Convert to fraction form
    276.76/415.25 = 146.90/x
  3. Step 3: Cross multiply
    276.76x = 415.25 × 146.90
  4. Step 4: Simplify right side
    276.76x = 61,000.23
  5. Step 5: Solve for x
    x = 61,000.23/276.76
  6. Step 6: Final answer
    x = 220.41

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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.