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Finding the Fourth Proportional to 276.48, 414 and 240.48

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Solution

The fourth proportional to 276.48, 414 and 240.48 is: 360.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.48 : 414 = 240.48 : x
  2. Step 2: Convert to fraction form
    276.48/414 = 240.48/x
  3. Step 3: Cross multiply
    276.48x = 414 × 240.48
  4. Step 4: Simplify right side
    276.48x = 99,558.72
  5. Step 5: Solve for x
    x = 99,558.72/276.48
  6. Step 6: Final answer
    x = 360.09

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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.