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Finding the Fourth Proportional to 277.53, 415.08 and 226.50

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Solution

The fourth proportional to 277.53, 415.08 and 226.50 is: 338.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.53 : 415.08 = 226.50 : x
  2. Step 2: Convert to fraction form
    277.53/415.08 = 226.50/x
  3. Step 3: Cross multiply
    277.53x = 415.08 × 226.50
  4. Step 4: Simplify right side
    277.53x = 94,016.40
  5. Step 5: Solve for x
    x = 94,016.40/277.53
  6. Step 6: Final answer
    x = 338.76

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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.