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Finding the Fourth Proportional to 273.12, 407.28 and 248.64

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Solution

The fourth proportional to 273.12, 407.28 and 248.64 is: 370.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.12 : 407.28 = 248.64 : x
  2. Step 2: Convert to fraction form
    273.12/407.28 = 248.64/x
  3. Step 3: Cross multiply
    273.12x = 407.28 × 248.64
  4. Step 4: Simplify right side
    273.12x = 101,266.10
  5. Step 5: Solve for x
    x = 101,266.10/273.12
  6. Step 6: Final answer
    x = 370.78

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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.