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Finding the Fourth Proportional to 273.40, 407.75 and 247.48

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Solution

The fourth proportional to 273.40, 407.75 and 247.48 is: 369.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.40 : 407.75 = 247.48 : x
  2. Step 2: Convert to fraction form
    273.40/407.75 = 247.48/x
  3. Step 3: Cross multiply
    273.40x = 407.75 × 247.48
  4. Step 4: Simplify right side
    273.40x = 100,909.97
  5. Step 5: Solve for x
    x = 100,909.97/273.40
  6. Step 6: Final answer
    x = 369.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.