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Finding the Fourth Proportional to 273.43, 407.90 and 253.79

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Solution

The fourth proportional to 273.43, 407.90 and 253.79 is: 378.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.43 : 407.90 = 253.79 : x
  2. Step 2: Convert to fraction form
    273.43/407.90 = 253.79/x
  3. Step 3: Cross multiply
    273.43x = 407.90 × 253.79
  4. Step 4: Simplify right side
    273.43x = 103,517.63
  5. Step 5: Solve for x
    x = 103,517.63/273.43
  6. Step 6: Final answer
    x = 378.59

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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.